Analysis of PDEs

[1] The existence of the solution of the wave equation on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03011

arXiv, 2021.8
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[2] Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03010

arXiv, 2021.8
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[3] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
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[4] A heat flow for the mean field equation on a finite graph

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs Combinatorics mathscidoc:2207.03008

Calculus of Variations and Partial Differential Equations, 60, (206), 2021.8
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[5] Existence of Solutions to Mean Field Equations on Graphs

An Huang Department of Mathematics, Brandies University, Waltham, MA, USA Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, USA

Analysis of PDEs mathscidoc:2207.03007

Communications in Mathematical Physics, 377, 613–621, 2020.2
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[6] Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs mathscidoc:2207.03006

Acta Mathematica Scientia, 38, (3), 843-856, 2018.5
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[7] Harnack and mean value inequalities on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Hongye Song School of General Education, Beijing International Studies University, Beijing 100024, China; Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs Differential Geometry mathscidoc:2207.03005

Acta Mathematica Scientia, 38, (6), 1751-1758, 2018.11
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[8] Log-Sobolev Inequalities on Graphs with Positive Curvature

Yong Lin Department of Mathematics, Renmin University of China Shuang Liu Department of Mathematics, Renmin University of China Hongye Song Department of Mathematics, Renmin University of China; Beijing International Studies University

Analysis of PDEs mathscidoc:2207.03004

Mathematical Physics and Computer Simulation, 20, (3), 99-110, 2017.9
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[9] On-diagonal lower estimate of heat kernels on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, PR China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, PR China

Analysis of PDEs Combinatorics mathscidoc:2207.03003

Journal of Mathematical Analysis and Applications, 456, (2), 1040-1048, 2017.12
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[10] Existence of positive solutions to some nonlinear equations on locally finite graphs

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, Bielefeld, 33501, Germany; School of Mathematical Sciences and Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin, 300071, China Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, China YunYan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03002

Science China Mathematics, 60, 1311–1324, 2017.4
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[11] Kazdan-Warner equation on graph

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, 33501, Bielefeld, Germany Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs mathscidoc:2207.03001

Calculus of Variations and Partial Differential Equations, 55, (92), 2016.7
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[12] Effective fronts of polygon shapes in two dimensions

Wenjia Jing Hung V. Tran Yifeng Yu

Analysis of PDEs Dynamical Systems mathscidoc:2206.03020

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[13] Convergence rate for the homogenization of stationary diffusions in dilutely perforated domains with reflecting boundaries

Wenjia Jing

Analysis of PDEs mathscidoc:2206.03019

Minimax Theory and its Applications
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[14] High order homogenized Stokes models capture all three regimes

Florian Feppon Department of Mathematics - ETH Wenjia Jing Mathematical Sciences Center [Tsinghua]

Analysis of PDEs mathscidoc:2206.03018

SIAM Journal on Mathematical Analysis
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[15] Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No. 1 Tsinghua Yuan, Beijing 100084, People’s Republic of China

Analysis of PDEs Functional Analysis mathscidoc:2206.03017

Calculus of Variations, 60, (2), 2020.11
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[16] Effective Fronts of Polytope Shapes

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China Hung V. Tran Dept. of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A. Yifeng Yu Dept. of Mathematics, University of California, Irvine, CA 92697, U.S.A.

Analysis of PDEs Dynamical Systems mathscidoc:2206.03016

Minimax Theory and its Applications, 5, (2), 347-360, 2020.9
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[17] Generalized ergodic problems: Existence and uniqueness structures of solutions

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing 100084, China Hiroyoshi Mitake Graduate School of Mathematical Sciences, University of Tokyo 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan Hung V. Tran Department of Mathematics, University of Wisconsin Madison, Van Vleck hall, 480 Lincoln drive, Madison, WI 53706, USA

Analysis of PDEs mathscidoc:2206.03015

Journal of Differential Equations, 268, (6), 2886-2909, 2020.3
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[18] A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People's Republic ofChina

Analysis of PDEs mathscidoc:2206.03014

SIAM Journal on Mathematical Analysis, 52, (2), 1192-1220, 2020.3
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[19] A backscattering model based on corrector theory of homogenization for the random Helmholtz equation

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing 100084, China Olivier Pinaud Department of Mathematics, Colorado State University, Fort Collins, CO 80525, USA

Analysis of PDEs mathscidoc:2206.03013

Discrete and Continuous Dynamical Systems - B, 24, (10), 5377-5407, 2019.10
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[20] Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

Wenjia Jing Yau Mathematical Sciences Center, Tsinghua University, No 1. Tsinghua Yuan, Beijing 100084, China Panagiotis E. Souganidis Department of Mathematics, The University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA Hung V. Tran Department of Mathematics, University of Wisconsin at Madison, 480 Lincoln Drive, Madison, WI 53706, USA

Analysis of PDEs Optimization and Control Probability mathscidoc:2206.03012

Discrete and Continuous Dynamical Systems - S, 11, (5), 915-939, 2018.10
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[21] Homogenization of randomly deformed conductivity resistant membranes

Wenjia Jing Department of Mathematics, University of Chicago, Illinois, U.S.A.

Analysis of PDEs mathscidoc:2206.03011

Communications in Mathematical Sciences, 14, (5), 1237-1268, 2016.5
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[22] Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

Habib Ammari Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Elie Bretin Institut Camille Jordan, INSA de Lyon, Villeurbanne Cedex 69621, France Josselin Garnier Wenjia Jing Department of Mathematics and Applications, Ecole Normale Sup ́erieure, 75005 Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon 402-751, Korea Abdul Wahab Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt. 47040, Pakistan

Analysis of PDEs Optimization and Control mathscidoc:2206.03010

SIAM Journal on Imaging Sciences, 6, (4), 2174-2212, 2013.11
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[23] Passive Array Correlation-Based Imaging in a Random Waveguide

Habib Ammari D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France Josselin Garnier Laboratoire de Probabilit ́es et Mod`eles Al ́eatoires & Laboratoire Jacques-Louis Lions, Universit ́eParis VII, 75205 Paris Cedex 13, France Wenjia Jing D ́epartement de Math ́ematiques et Applications, ́Ecole Normale Sup ́erieure, 75230 Paris Cedex05, France

Analysis of PDEs Probability mathscidoc:2206.03009

Multiscale Modeling & Simulation, 11, (2), 656-681, 2013.6
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[24] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, 10027 New York, USA. Wenjia Jing D´epartement de Math´ematiques et Applications, Ecole Normale Sup´erieure, 45 Rue d’Ulm, 75230 Paris Cedex 05, France

Analysis of PDEs Numerical Analysis and Scientific Computing Probability mathscidoc:2206.03008

ESAIM: Mathematical Modelling & Numerical Analysis, 48, 387–409, 2014.3
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[25] Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Emmanuel Bossy Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, 10 rue Vauquelin, 75231 Paris Cedex 05, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205 Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France Laurent Seppecher Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France

Analysis of PDEs Mathematical Physics mathscidoc:2206.03007

Journal of Mathematical Physics, 54, (2), 021501, 2013.2
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[26] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

Habib Ammari Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Thomas Boulier Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires & Laboratoire Jacques-Louis Lions, Université Paris VII, 75205, Paris Cedex 13, France Wenjia Jing Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France Hyeonbae Kang Department of Mathematics, Inha University, Incheon, 402-751, Korea Han Wang Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France

Analysis of PDEs Mathematical Physics Numerical Analysis and Scientific Computing Optimization and Control mathscidoc:2206.03006

Foundations of Computational Mathematics, 14, 27-62, 2013.9
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[27] Quantitative thermo-acoustic imaging: an exact reconstruction formula

Habib Ammari Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 Rue dʼUlm, 75005 Paris, France Josselin Garnier Laboratoire de Probabilités et Modèles Aléatoires, France Wenjia Jing Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 Rue dʼUlm, 75005 Paris, France Loc Hoang Nguyen Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 Rue dʼUlm, 75005 Paris, France

Analysis of PDEs mathscidoc:2206.03005

Journal of Differential Equations, 254, (3), 1375-1395, 2013.2
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[28] Resolution and stability analysis in acousto-electric imaging

Habib Ammari Departement de Math ´ ematiques et Applications, Ecole Normale Sup ´ erieure, 45 Rue d’Ulm, ´ 75005 Paris, France Josselin Garnier Laboratoire de Probabilites et Mod ´ eles Al ` eatoires & Laboratoire Jacques-Louis Lions, ´ Universite Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France Wenjia Jing Departement de Math ´ ematiques et Applications, Ecole Normale Sup ´ erieure, 45 Rue d’Ulm, ´ 75005 Paris, France

Analysis of PDEs mathscidoc:2206.03004

Inverse Problems, 28, (8), 084005, 2012.7
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[29] Corrector theory for elliptic equations with long-range correlated random potential

Guillaume Bal Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027 Josselin Garnier Laboratoire de Probabilit´es et Mod`eles Al´eatoires & Laboratoire Jacques-Louis Lions, Universit´e Paris VII, 2 Place Jussieu, 75251 Paris Cedex 5, France Yu Gu Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027 Wenjia Jing Department of Applied Physics & Applied Mathematics, Columbia University, New York, NY 10027

Analysis of PDEs Probability mathscidoc:2206.03003

Asymptotic Analysis, 77, 123-145, 2012.5
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[30] Corrector theory for elliptic equations in random media with singular Green’s function. application to random boundaries

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University Wenjia Jing Department of Applied Physics and Applied Mathematics, Columbia University

Analysis of PDEs Probability mathscidoc:2206.03002

Communications in Mathematical Sciences, 9, (2), 383-411, 2010.12
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[31] Homogenization and Corrector Theory for Linear Transport in Random Media

Guillaume Bal Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027 Wenjia Jing Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, United States

Analysis of PDEs Probability mathscidoc:2206.03001

Discrete and Continuous Dynamical Systems, 28, (4), 1311-1343, 2010.12
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[32] Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations

Stephan Gerster Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Aachen, Germany Michael Herty Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Aachen, Germany Hui Yu Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2205.03010

Communications in Mathematical Sciences, 19, (3), 787-806, 2021.5
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[33] On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential

Chunmei Su Zentrum Mathematik, Technische Universität München, 85748 Garching bei München, Germany Xiaofei Zhao School of Mathematics and Statistics & Hubei Key Laboratory of Computational Science, Wuhan University, 430072 Wuhan, P.R. China

Analysis of PDEs mathscidoc:2205.03009

ESAIM: Mathematical Modelling and Numerical Analysis, 54, (5), 1491-1508, 2020.6
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[34] Two exponential-type integrators for the “good” Boussinesq equation

Alexander Ostermann Chunmei Su

Analysis of PDEs mathscidoc:2205.03008

Numerische Mathematik, 143, 683-712, 2019.7
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[35] Regularized numerical methods for the logarithmic Schrödinger equation

Weizhu Bao Department of Mathematics, National University of Singapore, Singapore, 119076, Singapore Rémi Carles CNRS, IRMAR - UMR 6625, Univ Rennes, 35000, Rennes, France Chunmei Su Zentrum Mathematik, Technische Universität München, 85748, Garching bei München, Germany Qinglin Tang School of Mathematics, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, 610064, People’s Republic of China

Analysis of PDEs mathscidoc:2205.03007

Numerische Mathematik, 143, 461–487q, 2019.7
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[36] Scattering and uniform in time error estimates for splitting method in NLS

Rémi Carles Chunmei Su

Analysis of PDEs mathscidoc:2205.03006

2021.10
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[37] Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential

Rémi Carles Univ Rennes, CNRS, IRMAR - UMR 6625, Rennes, France Chunmei Su Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2205.03005

Communications in Partial Differential Equations, 2022.3
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[38] The Kinetic Fokker Planck equation with General Force

Chuqi Cao Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs mathscidoc:2205.03004

Journal of Evolution Equations, 21, 2021.5
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[39] Propagation of regularity and long time behavior of the 3D massive relativistic transport equation II: Vlasov-Maxwell system.

Xuecheng Wang YMSC, Tsinghua University

Analysis of PDEs mathscidoc:2205.03003

Comm. Math. Phys., 389, (2), 715–812, 2022.1
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[40] Propagation of regularity and long time behavior of 3D massive relativistic transport equation I: Vlasov-Nordström system

Xuecheng Wang YMSC, Tsinghua University

Analysis of PDEs mathscidoc:2205.03002

Comm. Math. Phys., 382, (3), 1843–1934 , 2021.2
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[41] Global regularity for the 3D finite depth capillary water waves

Xuecheng Wang YMSC, Tsinghua University

Analysis of PDEs mathscidoc:2205.03001

Ann. Sci. Éc. Norm. Supér. (4) , 53, (4), 847–943, 2020.9
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[42] Conservation-dissipation formalism of irreversible thermodynamics

Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Liu Hong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Zaibao Yang Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Wen-An Yong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China

Analysis of PDEs mathscidoc:2204.03011

Journal of Non-Equilibrium Thermodynamics, 40, (2), 67-74, 2015.5
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[43] A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies

Liu Hong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Zaibao Yang Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Wen-An Yong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China

Analysis of PDEs mathscidoc:2204.03010

Journal of Non-Equilibrium Thermodynamics, 40, (4), 247-256, 2015.8
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[44] PT symmetry in a fractional Schrödinger equation

Yiqi Zhang Key Laboratory for Physical Electronics and Devices of the Ministry of Education; Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, 710049 China Hua Zhong Key Laboratory for Physical Electronics and Devices of the Ministry of Education; Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, 710049 China Milivoj R. Belić Science Program, Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, 100084 China Weiping Zhong Department of Electronic and Information Engineering, Shunde Polytechnic, Shunde, 528300 China Yanpeng Zhang Key Laboratory for Physical Electronics and Devices of the Ministry of Education; Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an, 710049 China Demetrios N. Christodoulides CREOL, College of Optics and Photonics, University of Central Florida, Orlando, Florida, 32816-2700 USA Min Xiao Department of Physics, University of Arkansas, Fayetteville, Arkansas, 72701 USA; National Laboratory of Solid State Microstructures and School of Physics, Nanjing University, Nanjing, 210093 China

Analysis of PDEs mathscidoc:2204.03009

Laser & Photonics Reviews, 10, (3), 2016.5
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[45] Zero-viscosity Limit for Boussinesq Equations with Vertical Viscosity and Navier Boundary in the Half Plane

Mengni Li Yan-Lin Wang YMSC, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03008

2022.2
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[46] Nonlinear Asymptomatic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations

Tao Luo Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong SAR, China Yan-Lin Wang YMSC, Tsinghua University, Beijing, China Huihui Zeng YMSC, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03007

2022.3
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[47] Boundary layer and asymptotic stability for the Navier–Stokes–Poisson equations with nonslip boundary conditions

Yan-Lin Wang Department of Mathematics, City University of Hong Kong; and Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03006

Communications in Mathematical Sciences, 19, 977-991, 2021.6
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[48] Multi-scale nonlinear singular limit for thermal non-equilibrium gas flow with multiple non-equilibrium modes for analytic data in multi-dimensions with physical boundaries

Tao Luo Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong SAR, China Yan-Lin Wang YMSC, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03005

Journal of Mathematics Physics, 61, 101512, 2020.10
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[49] Generalized hydrodynamics and the classical hydrodynamic limit

Zaibao Yang Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, China, 100084 Wen-An Yong Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing, China, 100084

Analysis of PDEs mathscidoc:2204.03004

2018.2
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[50] Traveling edge states in massive Dirac equations along slowly varying edges

Pipi Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Peng Xie Yi Zhu Yau Mathematical Sciences Center and Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

Analysis of PDEs mathscidoc:2204.03003

2022.2
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[51] Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential

Peng Xie Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China Yi Zhu Yau Mathematical Science Center, Tsinghua University, Beijing, China

Analysis of PDEs mathscidoc:2204.03002

2020.6
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[52] Wave packet dynamics in slowly modulated photonic graphene

Peng Xie Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China

Analysis of PDEs mathscidoc:2204.03001

2019.3
[ Download ] [ 2022-04-21 12:04:26 uploaded by yizhu ] [ 31 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[53] Global regularity for the Monge-Ampère equation with natural boundary condition

Shibing Chen School of Mathematical Sciences, University of Science and Technology of China, Hefei, P.R. China Jiakun Liu School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, Australia Xu-Jia Wang Centre for Mathematics and Its Applications, The Australian National University, Canberra, Australia

Analysis of PDEs mathscidoc:2203.03009

Annals of Mathematics, 194, 745-793, 2021.11
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[54] Resonances over a potential well in an island

Johannes Sjöstrand Institut de Mathématiques de Bourgogne, Université de Bourgogne Franche-Comté, Dijon, France Maher Zerzeri Laboratoire Analyse, Géométrie et Applications, Université Sorbonne Paris-Nord, Villetaneuse, France

Analysis of PDEs Functional Analysis mathscidoc:2203.03008

Arkiv for Matematik, 59, (2), 385-437, 2021.11
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[55] Multiplication in Sobolev spaces, revisited

A. Behzadan Department of Mathematics and Statistics. California State University, Sacramento, Calif., U.S.A. M. Holst Department of Mathematics, University of California at San Diego, La Jolla, Calif., U.S.A.

Analysis of PDEs mathscidoc:2203.03007

Arkiv for Matematik, 59, (2), 275-306, 2021.11
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[56] Spectral asymptotics of Laplacians related to one-dimensional graph-directed self-similar measures with overlaps

Sze-Man Ngai Key Laboratory of High Performance Computing & Stochastic Information Processing, College of Math. & Stat., Hunan Normal University, Changsha, Hunan, China; and Dept. of Mathematical Sciences, Georgia Southern University, Statesboro, Ga., U.S.A. Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, China

Analysis of PDEs mathscidoc:2203.03006

Arkiv for Matematik, 58, (2), 393-435, 2020.11
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[57] Radial variation of Bloch functions on the unit ball of ℝ^d

Paul F. X. Müller Institute of Analysis, Johannes Kepler University, Linz, Austria Katharina Riegler Institute of Analysis, Johannes Kepler University, Linz, Austria

Analysis of PDEs mathscidoc:2203.03005

Arkiv for Matematik, 58, (1), 161-178, 2020.4
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[58] A multiplicity result for a non-local parametric problem with periodic boundary conditions

Vincenzo Ambrosio Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Ancona, Italy Rossella Bartolo Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Italy Giovanni Molica Bisci Dipartimento di Scienze Pure e Applicate (DiSPeA), Università degli Studi di Urbino Carlo Bo, Urbino, Italy

Analysis of PDEs Functional Analysis mathscidoc:2203.03004

Arkiv for Matematik, 58, (1), 1-18, 2020.5
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[59] Stable solutions to semilinear elliptic equations are smooth up to dimension 9

Xavier Cabré ICREA Barcelona, Spain and Universitat Polit`ecnica de Catalunya Barcelona, Spain and BGSMath Bellaterra, Spain Alessio Figalli Department of Mathematics, ETH Zürich, Switzerland Xavier Ros-Oton (Institut für Mathematik, Universität Zürich, Switzerland; ICREA, Barcelona, Spain; and Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Spain Joaquim Serra Department of Mathematics, ETH Zürich, Switzerland

Analysis of PDEs mathscidoc:2203.03003

Acta Mathematica, 224, (2), 187-252, 2020.6
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[60] A new hydrostatic reconstruction scheme based on subcell reconstructions

Guoxian Chen Computational Science Hubei Key Laboratory, School of Mathematics and Statistics, Wuhan University Sebastian Noelle Institute for Geometry and Practical Mathematics, RWTH Aachen University

Analysis of PDEs Fluid Dynamics and Shock Waves Numerical Analysis and Scientific Computing mathscidoc:2203.03002

SIAM J. NUMER. ANAL., 55, (2), 758-784, 2017.4
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[61] A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

Hailiang Liu Mathematics Department, Iowa State University Peimeng Yin Mathematics Department, Iowa State University

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:2203.03001

J Sci Comput, 77, 467-501, 2018.6
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[62] Existence of Multi-dimensional Contact Discontinuities for the Ideal Compressible Magnetohydrodynamics

Yanjin Wang Xiamen University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs Mathematical Physics arXiv subject: Analysis of PDEs (math.AP) arXiv subject: Mathematical Physics (math-ph) mathscidoc:2112.03001

2021.12
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[63] Propagation of uniform boundedness of entropy and inhomogeneous regularities for viscous and heat conductive gases with far field vacuum in three dimensions

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2111.03001

2021.11
[ Download ] [ 2021-11-28 13:38:50 uploaded by jklimath ] [ 259 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[64] Weak damped wave equations defined by a class of self-similar measures with overlaps,

Wei Tang Hunan First Normal University

Analysis of PDEs mathscidoc:2110.03001

2021.11
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[65] Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data

Jinkai Li South China Normal University Mingjie Li Minzu University of China

Analysis of PDEs mathscidoc:2108.03006

2021.7
[ Download ] [ 2021-08-24 23:30:40 uploaded by jklimath ] [ 150 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[66] The primitive equations approximation of the anisotropic horizontally viscous Navier-Stokes equations

Jinkai Li South China Normal University Edriss S. Titi Texas A&M University; University of Cambridge Guozhi Yuan South China Normal University

Analysis of PDEs mathscidoc:2108.03005

2021.6
[ Download ] [ 2021-08-24 23:27:14 uploaded by jklimath ] [ 151 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[67] Global well-posedness of $z$-weak solutions to the primitive equations without vertical diffusivity

Jinkai Li South China Normal University Guozhi Yuan South China Normal University

Analysis of PDEs mathscidoc:2108.03004

2021.7
[ Download ] [ 2021-08-24 23:23:25 uploaded by jklimath ] [ 188 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[68] Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions

Jinkai Li South China Normal University Yasi Zheng South China Normal University

Analysis of PDEs mathscidoc:2108.03003

2021.8
[ Download ] [ 2021-08-24 23:19:54 uploaded by jklimath ] [ 151 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[69] Schrodinger equations defined by a class of self-similar measures

Sze-Man Ngai Wei Tang Hunan First Normal University

Analysis of PDEs mathscidoc:2108.03002

2021.7
[ Download ] [ 2021-08-16 10:33:30 uploaded by WeiTang ] [ 117 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[70] Strong damping wave equations defined by a class of self-similar measures with overlaps,

Wei Tang Hunan First Normal University Zhiyong Wang Hunan First Normal University

Analysis of PDEs mathscidoc:2108.03001

2021.3
[ Download ] [ 2021-08-16 10:29:31 uploaded by WeiTang ] [ 130 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[71] Control of eigenfunctions on surfaces of variable curvature

SEMYON DYATLOV Massachusetts Institute of Technology LONG JIN Massachusetts Institute of Technology STÉPHANE NONNENMACHER Massachusetts Institute of Technology

Analysis of PDEs mathscidoc:2106.03002

2021.3
[ Download ] [ 2021-06-21 12:36:24 uploaded by admin ] [ 192 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[72] Fu-Yau Hessian equation

Duong H. Phong Columbia University Sebastien Picard University of British Columbia Xiangwen Zhang University of California, Irvine

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:2106.03001

2018.4
[ Download ] [ 2021-06-02 13:04:58 uploaded by xiangwen ] [ 233 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[73] The Mathematics of Shock Reflection-Diffraction and von Neumann's conjectures

Gui-Qiang G. Chen University of Oxford Miklhail Feldman University of Wiscosin-Madison

Analysis of PDEs mathscidoc:2104.14001

830, 2018
[ Download ] [ 2021-04-20 06:51:50 uploaded by chengq ] [ 146 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[74] The weyl problem in warped product spaces

Chunhe Li School of Mathematical Sciences, University of Electronic Science and Technology of China Zhizhang Wang School of Mathematical Sciences, Fudan Univeristy

Analysis of PDEs Differential Geometry mathscidoc:2103.03006

Journal of Differential Geometry, 114, (2), 243-304, 2020.2
[ Download ] [ 2021-03-28 12:22:14 uploaded by Chunhe ] [ 251 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[75] Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction

Mourad Sini RICAM, Austrian Academy of Sciences Haibing Wang Southeast University

Analysis of PDEs mathscidoc:2103.03005

Multiscale Modeling and Simulation, 17, (4), 1214-1251, 2019.11
[ Download ] [ 2021-03-25 17:40:06 uploaded by hbwang ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[76] Recovering the boundary corrosion from electrical potential distribution using partial boundary data

Jijun Liu Southeast University Gen Nakamura Inha University

Analysis of PDEs mathscidoc:2103.03004

Inverse Problems and Imaging, 11, (3), 521-538, 2017.4
[ Download ] [ 2021-03-25 17:17:42 uploaded by jjliu ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] Zeros of the deformed exponential function

Liuquan Wang Wuhan University Cheng Zhang Johns Hopkins University

Analysis of PDEs Classical Analysis and ODEs Combinatorics Number Theory mathscidoc:2103.03003

Advances in Mathematics, 332, 311–348, 2018
[ Download ] [ 2021-03-23 10:26:43 uploaded by wanglq ] [ 285 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[78] Existence and Multiplicity of Nontrivial Solutions for Biharmonic Equations with Singular Weight Functions

Han-Su Zhang Southeast University Tiexiang Li Southeast University Tsung-fang Wu National University of Kaohsiung

Analysis of PDEs mathscidoc:2103.03002

Applied Mathematics Letter, 105, 2020.3
[ Download ] [ 2021-03-15 21:38:07 uploaded by litx ] [ 213 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] On the Solvability of An Indefinite Nonlinear Kirchhoff Equation via Associated Eigenvalue Problems

Han-Su Zhang Southeast University Tiexiang Li Southeast University Tsung-fang Wu National University of Kaohsiung

Analysis of PDEs mathscidoc:2103.03001

Journal of Differential Equations, 269, (4), 2020.2
[ Download ] [ 2021-03-15 21:34:40 uploaded by litx ] [ 214 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] Normalized solutions for a coupled Schr\"odinger system

Thomas Bartsch Mathematisches Institut, Justus-Liebig-Universit\"at Giessen, Arndtstrasse 2, 35392 Giessen, Germany Xuexiu Zhong South China Research Center for Applied Mathematics and Interdisciplinary Studies,South China Normal University, Guangzhou 510631, China. Wenming Zou Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China.

Analysis of PDEs mathscidoc:2006.03002

Math. Ann. , 2020
[ Download ] [ 2020-06-21 12:19:01 uploaded by ZhongXX_1989 ] [ 319 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] Nonhexagonal lattices from a two species interacting system

Senping Luo Jiangxi Normal University Xiaofeng Ren The George Washington University Juncheng Wei University of British Columbia

Analysis of PDEs Mathematical Physics mathscidoc:2006.03001

SIAM Journal on Mathematical Analysis, 52, (2), 1903-1942, 2020
[ Download ] [ 2020-06-06 06:12:47 uploaded by SenpingLuo ] [ 551 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[82] On the constant scalar curvature K\"ahler metrics-general automorphism group

Xiuxiong Chen Stony Brook University Jingrui Cheng Stony Brook University

Analysis of PDEs arXiv subject: Differential Geometry (math.DG) mathscidoc:2005.03004

[ Download ] [ 2020-05-13 04:02:42 uploaded by jrcheng ] [ 261 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] On the constant scalar curvature K\"ahler metrics-apriori estimates

Xiuxiong Chen Stony Brook University Jingrui Cheng Stony Brook University

Analysis of PDEs arXiv subject: Differential Geometry (math.DG) mathscidoc:2005.03003

[ Download ] [ 2020-05-13 03:38:59 uploaded by jrcheng ] [ 596 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[84] Geometric estimates for complex Monge-Ampere equations

Xin Fu Rutgers University Bin Guo Columbia University Jian Song Rutgers University

Analysis of PDEs mathscidoc:2005.03002

Silver Award Paper in 2020

Journal für die reine und angewandte Mathematik
[ Download ] [ 2020-05-13 00:26:36 uploaded by jsong22 ] [ 195 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[85] On $l_p$-estimates for elliptic and parabolic equations with $a_p$ weights

Hongjie Dong Brown University Doyoon Kim Korea University

Analysis of PDEs mathscidoc:2005.03001

Trans. Amer. Math. Soc., 370, (7), 5081–5130, 2018.7
[ Download ] [ 2020-05-08 01:29:39 uploaded by hjdong79 ] [ 290 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] Global well-posedness of the one-dimensional compressible navier-stokes equations with constant heat conductivity and nonnegative density

Jinkai Li South Chine Normal University

Analysis of PDEs mathscidoc:2002.03003

SIAM J. MATH. ANAL., 51, (5), 366-{3693, 2019
[ Download ] [ 2020-02-11 20:27:47 uploaded by jklimath ] [ 356 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[87] Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2002.03002

AdvancesinMathematics, 361, 106923, 2020
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[88] Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier--Stokes equations with far field vacuum

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2002.03001

[ Download ] [ 2020-02-11 20:17:11 uploaded by jklimath ] [ 399 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[89] Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431029

Communications in Partial Differential Equations, 36, (10), 1750-1777, 2011.10
[ Download ] [ 2019-12-24 21:13:29 uploaded by Hongjie_Dong ] [ 258 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] Regularity criteria for the dissipative quasi-geostrophic equations in Hlder spaces

Hongjie Dong Nataa Pavlovi

Analysis of PDEs mathscidoc:1912.431027

Communications in Mathematical Physics, 290, (3), 801-812, 2009.9
[ Download ] [ 2019-12-24 21:13:24 uploaded by Hongjie_Dong ] [ 256 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] Gradient estimates for parabolic and elliptic systems from linear laminates

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431026

Archive for Rational Mechanics and Analysis, 205, (1), 119-149, 2012.7
[ Download ] [ 2019-12-24 21:13:21 uploaded by Hongjie_Dong ] [ 297 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] Well-posedness for a transport equation with nonlocal velocity

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431025

Journal of Functional Analysis, 255, (11), 3070-3097, 2008.12
[ Download ] [ 2019-12-24 21:13:18 uploaded by Hongjie_Dong ] [ 98 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Parabolic and elliptic systems in divergence form with variably partially BMO coefficients

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431024

SIAM Journal on Mathematical Analysis, 43, (3), 1075-1098, 2011.5
[ Download ] [ 2019-12-24 21:13:15 uploaded by Hongjie_Dong ] [ 227 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[94] Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431023

Journal of Functional Analysis, 261, (11), 3279-3327, 2011.12
[ Download ] [ 2019-12-24 21:13:09 uploaded by Hongjie_Dong ] [ 246 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[95] Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431022

Arxiv preprint math/0701826, Discrete Contin. Dyn. Syst. A, 26, 1197-1211, 2007.1
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[96] Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

Hongjie Dong Dapeng Du

Analysis of PDEs mathscidoc:1912.431021

Discrete Contin. Dyn. Syst. A, 21, 1095-1101, 2007.1
[ Download ] [ 2019-12-24 21:13:04 uploaded by Hongjie_Dong ] [ 287 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[97] Stability of Contact Waves for Navier-Stokes Equations and Boltzmann Equation

Feimin Huang Zhouping Xin Tong Yang

Analysis of PDEs mathscidoc:1912.431020

[ Download ] [ 2019-12-24 21:12:58 uploaded by Tong_Yang ] [ 295 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[98] Time periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains---Leray's problem for periodic flows

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431019

Communications in Mathematical Physics, 277, 189-236, 2005.1
[ Download ] [ 2019-12-24 21:12:43 uploaded by Tong_Yang ] [ 291 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] A new nonlinear functional for general scalar conservation laws

Zaihong Jiang Tong Yang

Analysis of PDEs mathscidoc:1912.431018

Journal of Differential Equations, 246, (11), 4284-4308, 2009.6
[ Download ] [ 2019-12-24 21:12:39 uploaded by Tong_Yang ] [ 198 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] A characterization of probability measure with finite moment and an application to the Boltzmann equation

Yong-Kum Cho Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431017

arXiv preprint arXiv:1512.00629, 2015.12
[ Download ] [ 2019-12-24 21:12:35 uploaded by Tong_Yang ] [ 200 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[101] Well-posedness of thermal layer equations for inviscid compressible flows

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431016

arXiv preprint arXiv:1608.02857, 2016.8
[ Download ] [ 2019-12-24 21:12:32 uploaded by Tong_Yang ] [ 315 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[102] A class of self-similar solutions to a singular and degenerate diffusion equation

Chunpeng Wang Tong Yang Jingxue Yin

Analysis of PDEs mathscidoc:1912.431015

Nonlinear Analysis: Theory, Methods & Applications, 60, (4), 775-796, 2005.2
[ Download ] [ 2019-12-24 21:12:29 uploaded by Tong_Yang ] [ 273 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[103] A nonlinear functional for general scalar hyperbolic conservation laws

Hongxia Liu Tong Yang

Analysis of PDEs mathscidoc:1912.431013

Journal of Differential Equations, 235, (2), 658-667, 2007.4
[ Download ] [ 2019-12-24 21:12:22 uploaded by Tong_Yang ] [ 264 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[104] Existence of local solutions for the Boltzmann equation without angular cutoff

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431012

Comptes Rendus Mathematique, 347, 1237-1242, 2009.11
[ Download ] [ 2019-12-24 21:12:19 uploaded by Tong_Yang ] [ 314 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[105] Waiting time for a non-Newtonian polytropic filtration equation with convection

Chunhua Jin Tong Yang Jingxue Yin

Analysis of PDEs mathscidoc:1912.431011

447-452, 2012
[ Download ] [ 2019-12-24 21:12:16 uploaded by Tong_Yang ] [ 216 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[106] Global existence for the ellipsoidal BGK model with initial large oscillations

Renjun Duan Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431010

arXiv preprint arXiv:1607.01113, 2016.7
[ Download ] [ 2019-12-24 21:12:13 uploaded by Tong_Yang ] [ 248 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[107] Well-posedness in Gevrey function space for the three-dimensional Prandtl equations

Wei-Xi Li Tong Yang

Analysis of PDEs mathscidoc:1912.431009

arXiv preprint arXiv:1708.08217, 2017.8
[ Download ] [ 2019-12-24 21:12:10 uploaded by Tong_Yang ] [ 338 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[108] The Boltzmann equation without angular cutoff. Global existence and full regularity of the Boltzmann equation without angular cutoff. Part I: Maxwellian case and small singularity.

Radjesvarane Alexandre Y Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431007

[ Download ] [ 2019-12-24 21:12:04 uploaded by Tong_Yang ] [ 208 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[109] Convergence to the Self-similar Solutions to the Homogeneous Boltzmann Equation

Yoshinori Morimoto Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431006

arXiv preprint arXiv:1703.10747, 2017.3
[ Download ] [ 2019-12-24 21:12:01 uploaded by Tong_Yang ] [ 224 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[110] The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate

Radjesvarane Alexandre Y Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431005

Preprint HAL, http://hal. archives-ouvertes. fr/hal-00477662/fr
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[111] Time periodic solution to the compressible Navier-Stokes equations in a periodic domain

JIN Chunhua Tong Yang

Analysis of PDEs mathscidoc:1912.431003

Acta Mathematica Scientia, 36, (4), 1015-1029, 2016.7
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[112] Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431002

Journal of Statistical Physics, 165, (5), 866-906, 2016.12
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[113] Stability of Nonlinear Wave Patterns to the Bipolar VlasovPoissonBoltzmann System

Hailiang Li Yi Wang Tong Yang Mingying Zhong

Analysis of PDEs mathscidoc:1912.431001

Archive for Rational Mechanics and Analysis, 228, (1), 39-127, 2018.4
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[114] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

Tong Yang Changjiang Zhu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431000

Journal of mathematical analysis and applications, 220, (1), 164-186, 1998.4
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[115] Existence of global smooth solutions for Euler equations with symmetry (II)

Tong Yang Changjiang Zhu Yongshu Zheng

Analysis of PDEs mathscidoc:1912.43999

Nonlinear Analysis, Theory, Methods and Applications, 41, (1), 187-203, 2000.7
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[116] Global structure and asymptotic behavior of weak solutions to flood wave equations

Tao Luo Tong Yang

Analysis of PDEs mathscidoc:1912.43998

Journal of Differential Equations, 207, (1), 117-160, 2004.12
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[117] The Boltzmann equation with soft potentials near a local Maxwellian

Zhouping Xin Tong Yang Hongjun Yu

Analysis of PDEs mathscidoc:1912.43997

Archive for Rational Mechanics and Analysis, 206, (1), 239, 2012.10
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[118] The rate of asymptotic convergence of strong detonations for a model problem

Lung-an Ying Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43996

Japan journal of industrial and applied mathematics, 16, (3), 467, 1999.10
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[119] A note on the new Glimm functional for general systems of hyperbolic conservation laws

Jiale Hua Tong Yang

Analysis of PDEs mathscidoc:1912.43995

Mathematical Models and Methods in Applied Sciences, 20, (5), 815-842, 2010.5
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[120] Uncertainty principle and regularity for Boltzmann type equations

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43994

Comptes Rendus Mathematique, 345, (12), 673-677, 2007.12
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[121] Existence of the discrete travelling waves for a relaxing scheme

Hailiang Liu Jinghua Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43993

Applied Mathematics Letters, 10, (3), 117-122, 1997.5
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[122] An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

Jiale Hua Tong Yang

Analysis of PDEs mathscidoc:1912.43992

Journal of Differential Equations, 231, (1), 92-107, 2006.12
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[123] MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory

CJ Liu Feng Xie Tong Yang

Analysis of PDEs mathscidoc:1912.43991

arXiv preprint ArXiv:1704.00523, 2017.4
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[124] The VlasovMaxwellBoltzmann system near Maxwellians in the whole space with very soft potentials

Renjun Duan Yuanjie Lei Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43990

Communications in Mathematical Physics, 351, (1), 95-153, 2017.4
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[125] Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43989

Analysis and Applications, 15, (3), 391-411, 2017.5
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[126] Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations

Hai-Liang Li Tong Yang Mingying Zhong

Analysis of PDEs mathscidoc:1912.43988

arXiv preprint arXiv:1411.5470, 2016.11
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[127] Optimal convergence rates for the compressible Navier-Stokes equations with potential force

Renjun Duan Hongxia Liu Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43987

Journal of Differential Equations, 238, (1), 220-233, 2007
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[128] NavierStokes equations with degenerate viscosity, vacuum and gravitational force

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43986

Mathematical methods in the applied sciences, 30, (3), 347-374, 2007.2
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[129] Regularity of solutions for the Boltzmann equation without angular cutoff

Radjesvarane Alexandre Yoshinore Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43985

Comptes Rendus Mathematique, 347, 747-752, 2009.7
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[130] Uniform L_1 boundedness of solutions of hyperbolic conservation laws

Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43984

Methods and Applications of Analysis, 4, (3), 339-355, 1997.9
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[131] Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay

Cheng-Jie Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43983

Journal de Mathmatiques Pures et Appliques, 108, (2), 150-162, 2017.8
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[132] Bounded solutions of the Boltzmann equation in the whole space

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43982

arXiv preprint arXiv:1010.5590, 2010.10
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[133] A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43981

Journal de Mathmatiques Pures et Appliques, 103, (3), 809-829, 2015.3
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[134] Existence of stationary solutions to the VlasovPoissonBoltzmann system

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43980

Journal of mathematical analysis and applications, 327, (1), 425-434, 2007.3
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[135] Global well-posedness of the Boltzmann equation with large amplitude initial data

Renjun Duan Feimin Huang Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43979

Archive for Rational Mechanics and Analysis, 225, (1), 375-424, 2017.7
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[136] A combination of energy method and spectral analysis for study of equations of gas motion

Renjun Duan Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43978

Frontiers of Mathematics in China, 4, (2), 253-282, 2009.6
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[137] MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: WellPosedness Theory

ChengJie Liu Feng Xie Tong Yang

Analysis of PDEs mathscidoc:1912.43977

Communications on Pure and Applied Mathematics, 72, (1), 63-121, 2019.1
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[138] Optimal convergence rates of Landau equation with external forcing in the whole space

Tong Yang Yu Hongjun

Analysis of PDEs mathscidoc:1912.43975

Acta Mathematica Scientia, 29, (4), 1035-1062, 2009.7
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[139] A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

Jiale Hua Zaihong Jiang Tong Yang

Analysis of PDEs mathscidoc:1912.43974

Archive for rational mechanics and analysis, 196, (2), 433-454, 2010.5
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[140] Well-posedness in Gevrey space for the Prandtl equations with non-degenerate critical points

Wei-Xi Li Tong Yang

Analysis of PDEs mathscidoc:1912.43973

arXiv preprint arXiv:1609.08430, 2016.9
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[141] Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms

Tong Yang Changjiang Zhu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43972

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 127, (6), 1311-1324, 1997
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[142] Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum

Yoshinori Morimoto Tong Yang

Analysis of PDEs mathscidoc:1912.43971

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 32, (2), 429-442, 2015.3
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[143] Existence and stability of planar diffusion waves for 2-D Euler equations with damping

Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43970

Journal of Differential Equations, 242, (1), 40-71, 2007.11
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[144] Lp convergence rates of planar waves for multi-dimensional Euler equations with damping

Jie Liao Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43969

Journal of Differential Equations, 247, (1), 303-329, 2009.7
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[145] Convergence rate to stationary solutions for Boltzmann equation with external force

Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43968

Chinese Annals of Mathematics, Series B, 27, (4), 363-378, 2006.8
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[146] A half-space problem for the Boltzmann equation with specular reflection boundary condition

Tong Yang Hui-Jiang Zhao

Analysis of PDEs mathscidoc:1912.43966

Communications in mathematical physics, 255, (3), 683-726, 2005.4
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[147] Global existence to Boltzmann equation with external force in infinite vacuum

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43965

Journal of mathematical physics, 46, (5), 053307, 2005.5
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[148] A well-posedness theory for the Prandtl equations in three space variables

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43964

Advances in Mathematics, 308, 1074-1126, 2017.2
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[149] A sharp decay estimate for positive nonlinear waves

Alberto Bressan Tong Yang

Analysis of PDEs mathscidoc:1912.43963

SIAM journal on mathematical analysis, 36, (2), 659-677, 2004
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[150] A functional integral approach to shock wave solutions of Euler equations with spherical symmetry

Tong Yang

Analysis of PDEs mathscidoc:1912.43962

Communications in mathematical physics, 171, (3), 607-638, 1995.8
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[151] Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping

Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43961

Journal of Differential Equations, 187, (2), 310-336, 2003.1
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[152] Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect

Feimin Huang Ming Mei Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43960

SIAM Journal on Mathematical Analysis, 44, (2), 1134-1164, 2012.4
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[153] On the ill-posedness of the Prandtl equations in three-dimensional space

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43959

Archive for Rational Mechanics and Analysis, 220, (1), 83-108, 2016.4
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[154] L1 and BV-type stability of the Boltzmann equation with external forces

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43957

Journal of Differential Equations, 227, (1), 1-28, 2006.8
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[155] Stability of a relaxation model with a nonconvex flux

Hailiang Liu Jinghua Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43956

SIAM journal on mathematical analysis, 29, (1), 18-29, 1998.1
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[156] Nonlinear stability of boundary layers of the Boltzmann equation, I. The case M< 1

Seiji Ukai Tong Yang Shih-Hsien Yu

Analysis of PDEs mathscidoc:1912.43955

Communications in mathematical physics, 244, (1), 99-109, 2004.1
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[157] Local existence with physical vacuum boundary condition to Euler equations with damping

Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43954

Journal of Differential Equations, 210, (1), 217-231, 2005.3
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[158] Stability of the one-species VlasovPoissonBoltzmann system

Renjun Duan Tong Yang

Analysis of PDEs mathscidoc:1912.43953

SIAM Journal on Mathematical Analysis, 41, (6), 2353-2387, 2010.1
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[159] The VlasovPoissonBoltzmann system in the whole space: The hard potential case

Renjun Duan Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43952

Journal of Differential Equations, 252, (12), 6356-6386, 2012.6
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[160] Stability of contact discontinuity for the Boltzmann equation

Feimin Huang Tong Yang

Analysis of PDEs mathscidoc:1912.43951

Journal of Differential Equations, 229, (2), 698-742, 2006.10
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[161] Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system

Hai-Liang Li Tong Yang Chen Zou

Analysis of PDEs mathscidoc:1912.43950

Acta Mathematica Scientia, 29, (6), 1721-1736, 2009.11
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[162] Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space

Tong Yang Hongjun Yu

Analysis of PDEs mathscidoc:1912.43949

Journal of Differential Equations, 248, (6), 1518-1560, 2010.3
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[163] One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

Hongxia Liu Tong Yang Huijiang Zhao Qingyang Zou

Analysis of PDEs mathscidoc:1912.43947

SIAM Journal on Mathematical Analysis, 46, (3), 2185-2228, 2014.6
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[164] Weak solutions of general systems of hyperbolic conservation laws

Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43946

Communications in mathematical physics, 230, (2), 289-327, 2002.10
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[165] On the convergence rate of vanishing viscosity approximations

Alberto Bressan Tong Yang

Analysis of PDEs mathscidoc:1912.43944

Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences, 57, (8), 1075-1109, 2004.8
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[166] The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43943

Analysis and Applications, 9, (2), 113-134, 2011.4
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[167] Global solutions to the Boltzmann equation with external forces

Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43942

Analysis and Applications, 3, (2), 157-193, 2005.4
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[168] Nonlinear stability of rarefaction waves for the Boltzmann equation

Tai-Ping Liu Tong Yang Shih-Hsien Yu Hui-Jiang Zhao

Analysis of PDEs mathscidoc:1912.43941

Archive for rational mechanics and analysis, 181, (2), 333-371, 2006.7
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[169] Cauchy problem for the VlasovPoissonBoltzmann system

Tong Yang Hongjun Yu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43940

Archive for rational mechanics and analysis, 182, (3), 415-470, 2006.11
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[170] Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system

Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43938

Communications in mathematical physics, 268, (3), 569-605, 2006.12
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[171] Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43937

Communications in Mathematical Physics, 277, (1), 189-236, 2008.1
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[172] Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

Zhaohui Huo Yoshinori Morimoto Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43936

Kinetic & Related Models, 1, (3), 453, 2008.8
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[173] The Boltzmann equation without angular cutoff in the whole space: Qualitative properties of solutions

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43935

Archive for Rational Mechanics and Analysis, 202, (2), 599-661, 2011.11
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[174] Global existence and full regularity of the Boltzmann equation without angular cutoff

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43934

Communications in Mathematical Physics, 304, (2), 513, 2011.6
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[175] The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43933

Journal of Functional Analysis, 262, (3), 915-1010, 2012.2
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[176] Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

Kenji Nishihara Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43932

SIAM journal on mathematical analysis, 35, (6), 1561-1597, 2004
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[177] Regularizing effect and local existence for the non-cutoff Boltzmann equation

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43931

Archive for rational mechanics and analysis, 198, (1), 39-123, 2010.10
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[178] Compressible Euler equations with vacuum

Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43930

Journal of differential equations, 140, (2), 223-237, 1997.11
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[179] Contact discontinuity with general perturbations for gas motions

Feimin Huang Zhouping Xin Tong Yang

Analysis of PDEs mathscidoc:1912.43929

Advances in Mathematics, 219, (4), 1246-1297, 2008.11
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[180] Optimal convergence rates for the compressible NavierStokes equations with potential forces

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43928

Mathematical Models and Methods in Applied Sciences, 17, (5), 737-758, 2007.5
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[181] Compressible NavierStokes equations with degenerate viscosity coefficient and vacuum

Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43927

Communications in Mathematical Physics, 230, (2), 329-363, 2002.10
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[182] Energy method for Boltzmann equation

Tai-Ping Liu Tong Yang Shih-Hsien Yu

Analysis of PDEs mathscidoc:1912.43926

Physica D: Nonlinear Phenomena, 188, 178-192, 2004.2
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[183] L1 stability estimates for n n conservation laws

Alberto Bressan Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43925

Archive for rational mechanics and analysis, 149, (1), 1-22, 1999.10
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[184] Self-similarity in deterministic and stochastic dissipative systems

Jack Xin

Analysis of PDEs mathscidoc:1912.43922

BULLETIN-INSTITUTE OF MATHEMATICS ACADEMIA SINICA, 31, (2), 75-94, 2003.6
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[185] Link Flow Correction For Inconsistent Traffic Flow Data Via l1-Minimization

Penghang Yin Zhe Sun Wenlong Jin Jack Xin

Analysis of PDEs mathscidoc:1912.43919

arXiv preprint arXiv:1704.02052, 2017.4
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[186] Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43916

Mathematical Modelling of Natural Phenomena, 8, (3), 198-205, 2013
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[187] Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions

Jack Xin J Moloney

Analysis of PDEs mathscidoc:1912.43914

Nonlinearity, 11, (3), 501, 1998.5
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[188] Scaling limits of waves in convex scalar conservation laws under random initial perturbations

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43913

Journal of statistical physics, 122, (2), 361-370, 2006.1
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[189] Variational principle based computation of KPP average front speeds in random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43909

Methods and Applications of Analysis, 11, (3), 389-398, 2004
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[190] 1-minimization method for link flow correction

Penghang Yin Zhe Sun Wen-Long Jin Jack Xin

Analysis of PDEs mathscidoc:1912.43905

Transportation Research Part B: Methodological, 104, 398-408, 2017.10
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[191] A numerical study of fronts in random media using a reactive solute transport model

Marie Postel Jack Xin

Analysis of PDEs mathscidoc:1912.43904

Computational Geosciences, 1, 251-270, 1997.9
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[192] Computing reactive front speeds in random flows by variational principle

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43894

Physica D: Nonlinear Phenomena, 237, (23), 3172-3177, 2008.12
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[193] A numerical study of the light bullets interaction in the (2+ 1) sine-Gordon equation

Timothy Povich Jack Xin

Analysis of PDEs mathscidoc:1912.43891

Journal of Nonlinear Science, 15, (1), 11-25, 2005.2
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[194] Periodic orbits of the ABC flow with A= B= C= 1

Jack Xin Yifeng Yu Andrej Zlatos

Analysis of PDEs mathscidoc:1912.43888

SIAM Journal on Mathematical Analysis, 48, (6), 4087-4093, 2016.12
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[195] Computing residual diffusivity by adaptive basis learning via spectral method

Jiancheng Lyu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43887

Numerical Mathematics: Theory, Methods and Applications, 10, (2), 351-372, 2017.5
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[196] Existence of traveling waves in a biodegradation model for organic contaminants

Regan Murray Jack Xin

Analysis of PDEs mathscidoc:1912.43884

SIAM journal on mathematical analysis, 30, (1), 72-94, 1998
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[197] Modelling thermal front dynamics in microwave heating

Gema A Mercado Benjamin P Luce Jack Xin

Analysis of PDEs mathscidoc:1912.43883

IMA journal of applied mathematics, 67, (5), 419-439, 2002.10
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[198] Min-max variational principle and front speeds in random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43881

Methods and Applications of Analysis, 11, (4), 635-644, 2004
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[199] Stability, relaxation, and oscillation of biodegradation fronts

Jack Xin James M Hyman

Analysis of PDEs mathscidoc:1912.43877

SIAM Journal on Applied Mathematics, 61, (2), 472-505, 2000
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[200] Large time asymptotics of solutions to a model combustion system with critical nonlinearity

L Berlyand Jack Xin

Analysis of PDEs mathscidoc:1912.43876

Nonlinearity, 8, (2), 161, 1995.3
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[201] Comparisons between sine-Gordon and perturbed nonlinear Schrdinger equations for modeling light bullets beyond critical collapse

Weizhu Bao Xuanchun Dong Jack Xin

Analysis of PDEs mathscidoc:1912.43874

Physica D: Nonlinear Phenomena, 239, (13), 1120-1134, 2010.7
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[202] Periodic homogenization of G-equations and viscosity effects

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43873

Nonlinearity, 23, (10), 2351, 2010.8
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[203] Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid HamiltonJacobi models

Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43871

Annales de l'IHP Analyse non linaire, 30, (6), 1049-1068, 2013
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[204] Asymptotics for turbulent flame speeds of the viscous G-equation enhanced by cellular and shear flows

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43869

Archive for rational mechanics and analysis, 202, (2), 461-492, 2011.11
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[205] Front speed in the Burgers equation with a random flux

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43868

Journal of statistical physics, 88, 843-871, 1997.8
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[206] Bounds on front speeds for inviscid and viscous G-equations

James Nolen Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43865

Methods and Applications of Analysis, 16, (4), 507-520, 2009.12
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[207] White noise perturbation of the viscous shock fronts of the Burgers equation

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43863

Communications in mathematical physics, 181, (1), 183-203, 1996.11
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[208] Stochastic analysis of biodegradation fronts in one-dimensional heterogeneous porous media

Jack Xin Dongxiao Zhang

Analysis of PDEs mathscidoc:1912.43862

Advances in Water Resources, 22, (2), 103-116, 1998.10
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[209] Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrdinger equations

Michael I Weinstein Jack Xin

Analysis of PDEs mathscidoc:1912.43859

Communications in mathematical physics, 180, (2), 389-428, 1996.10
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[210] Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media

Jack Xin

Analysis of PDEs mathscidoc:1912.43858

Archive for rational mechanics and analysis, 128, (1), 75-103, 1994.3
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[211] A variational principle for KPP front speeds in temporally random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43857

Communications in Mathematical Physics, 269, (2), 493-532, 2007.1
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[212] Global solutions to a reactive Boussinesq system with front data on an infinite domain

Simon Malham Jack Xin

Analysis of PDEs mathscidoc:1912.43856

Communications in mathematical physics, 193, (2), 287-316, 1998.4
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[213] On the dynamical law of the GinzburgLandau vortices on the plane

FH Lin Jack Xin

Analysis of PDEs mathscidoc:1912.43854

Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences, 52, (10), 1189-1212, 1999.10
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[214] Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media

Jack Xin Jingyi Zhu

Analysis of PDEs mathscidoc:1912.43853

Physica D: Nonlinear Phenomena, 81, 94-110, 1995.2
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[215] Diffusion-generated motion by mean curvature for filaments

Steven J Ruuth Barry Merriman Jack Xin Stanley Osher

Analysis of PDEs mathscidoc:1912.43852

Journal of Nonlinear Science, 11, (6), 473-493, 2001.12
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[216] Periodic homogenization of the inviscid G-equation for incompressible flows

Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43848

Communications in Mathematical Sciences, 8, (4), 1067-1078, 2010
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[217] Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43847

Annales de l'IHP Analyse non linaire, 26, (3), 815-839, 2009
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[218] Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity

Jean Bricmont Antti Kupiainen Jack Xin

Analysis of PDEs mathscidoc:1912.43846

Journal of differential equations, 130, (1), 9-35, 1996.9
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[219] Modeling light bullets with the two-dimensional sineGordon equation

Jack Xin

Analysis of PDEs mathscidoc:1912.43844

Physica D: Nonlinear Phenomena, 135, 345-368, 2000.1
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[220] Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43843

arXiv preprint math/0407366, 2004.7
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[221] On the incompressible fluid limit and the vortex motion law of the nonlinear Schrdinger equation

F-H Lin Jack Xin

Analysis of PDEs mathscidoc:1912.43841

Communications in mathematical physics, 200, (2), 249-274, 1999.2
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[222] Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media

Jack Xin

Analysis of PDEs mathscidoc:1912.43840

Journal of statistical physics, 73, 893-926, 1993.12
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[223] Front propagation in heterogeneous media

Jack Xin

Analysis of PDEs mathscidoc:1912.43838

SIAM review, 42, (2), 161-230, 2000
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[224] Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries

Yi Wang Zilai Li Wei Li

Analysis of PDEs mathscidoc:1912.43767

Boundary Value Problems, 2015, (1), 94, 2015.12
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[225] Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System

Hai-liang Li Teng Wang Yi Wang

Analysis of PDEs mathscidoc:1912.43766

SIAM Journal on Mathematical Analysis, 50, (2), 1829-1876, 2018.4
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[226] Global stability of wave patterns for compressible Navier-Stokes system with free boundary

QIN Xiaohong WANG Teng Yi Wang

Analysis of PDEs mathscidoc:1912.43765

Acta Mathematica Scientia, 36, (4), 1192-1214, 2016.7
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[227] Justification of diffusion limit for the Boltzmann equation with a non-trivial profile

Feimin Huang Yi Wang Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43764

arXiv preprint arXiv:1505.02258, 2015.5
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[228] L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

Moon-Jin Kang Alexis F Vasseur Yi Wang

Analysis of PDEs mathscidoc:1912.43763

Journal of Differential Equations, 267, (5), 2737-2791, 2019.8
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[229] Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks

FeiMin Huang Yi Wang Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43762

Science China Mathematics, 58, (4), 653-672, 2015.4
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[230] The Inviscid Limit to a Contact Discontinuity for the Compressible Navier--Stokes--Fourier System Using the Relative Entropy Method

Alexis Vasseur Yi Wang

Analysis of PDEs mathscidoc:1912.43761

SIAM Journal on Mathematical Analysis, 47, (6), 4350-4359, 2015.11
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[231] Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible NavierStokes equations

Feimin Huang Mingjie Li Yi Wang

Analysis of PDEs mathscidoc:1912.43760

SIAM Journal on Mathematical Analysis, 44, (3), 1742-1759, 2012.5
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[232] Zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock

Yi Wang

Analysis of PDEs mathscidoc:1912.43759

Acta Mathematica Scientia, 28, (4), 727-748, 2008.10
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[233] Global existence of weak solution to the heat and moisture transport system in fibrous porous media

Buyang Li Weiwei Sun Yi Wang

Analysis of PDEs mathscidoc:1912.43758

Journal of Differential Equations, 249, (10), 2618-2642, 2010.11
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[234] Large-time behavior of solutions to the inflow problem of full compressible NavierStokes equations

Xiaohong Qin Yi Wang

Analysis of PDEs mathscidoc:1912.43757

SIAM Journal on Mathematical Analysis, 43, (1), 341-366, 2011.1
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[235] A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation

Seung-Yeal Ha Feimin Huang Yi Wang

Analysis of PDEs mathscidoc:1912.43756

Journal of Differential Equations, 257, (5), 1333-1371, 2014.9
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[236] Vanishing viscosity limit of the compressible NavierStokes equations for solutions to a Riemann problem

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43755

Archive for Rational Mechanics and Analysis, 203, (2), 379-413, 2012.2
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[237] Hydrodynamic limit of the Boltzmann equation with contact discontinuities

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43754

Communications in Mathematical Physics, 295, (2), 293-326, 2010.4
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[238] Stability of wave patterns to the inflow problem of full compressible NavierStokes equations

Xiaohong Qin Yi Wang

Analysis of PDEs mathscidoc:1912.43753

SIAM Journal on Mathematical Analysis, 41, (5), 2057-2087, 2009.12
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[239] Fluid dynamic limit to the Riemann solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43752

arXiv preprint arXiv:1011.1990, 2010.11
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[240] Stability of rarefaction waves to the 1D compressible NavierStokes equations with density-dependent viscosity

Quansen Jiu Yi Wang Zhouping Xin

Analysis of PDEs mathscidoc:1912.43751

Communications in Partial Differential Equations, 36, (4), 602-634, 2011.1
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[241] Global well-posedness of 2D compressible NavierStokes equations with large data and vacuum

Quansen Jiu Yi Wang Zhouping Xin

Analysis of PDEs mathscidoc:1912.43750

Journal of Mathematical Fluid Mechanics, 16, (3), 483-521, 2014.9
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[242] Existence of multiple positive solutions for nonhomogeneous elliptic problems in RN

Tiexiang Li Tsung-fang Wu

Analysis of PDEs mathscidoc:1912.43748

Nonlinear Analysis: Theory, Methods & Applications, 75, (14), 5639-5652, 2012.9
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[243] Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

Tiexiang Li Tsung-fang Wu

Analysis of PDEs mathscidoc:1912.43734

Journal of Mathematical Analysis and Applications, 369, (1), 245-257, 2010.9
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[244] Nonlinear Differential Equations in Geometry and Physics.

Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43728

1986.9
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[245] Real time solution of Duncan-Mortensen-Zakai equation without memory

Stephen S-T Yau Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43719

5086-5091, 2008.12
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[246] Existence and uniqueness of solutions for Duncan-Mortensen-Zakai equations

Shing-Tung Yau SS-T Yau

Analysis of PDEs mathscidoc:1912.43666

536-541, 2005.12
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[247] Segmentation and tracking of 3D neuron microscopy images using a PDE based method and connected component labeling algorithm

Yalin Wang Ilhwan Jo Stephen Wong Shing-Tung Yau Tony F Chan

Analysis of PDEs mathscidoc:1912.43665

1-2, 2006.7
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[248] Finite-dimensional filters with nonlinear drift. V: solution to Kolmogorov equation arising from linear filtering with non-Gaussian initial condition

Zhigang Liang SS-T Yau Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43632

IEEE transactions on aerospace and electronic systems, 33, (4), 1295-1308, 1997.10
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[249] Existence and decay estimates for time dependent parabolic equation with application to DuncanMortensenZakai equation

Shing-Tung Yau Stephen S-T Yau

Analysis of PDEs mathscidoc:1912.43620

Asian Journal of Mathematics, 2, (4), 1079-1150, 1998.12
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[250] Partial differential equations in several complex variables

Shing-Tung Yau Mei-Chi Shaw

Analysis of PDEs mathscidoc:1912.43469

19, 2001
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[251] Compressible Viscous Flows in a Symmetric Domain with Complete Slip Boundary

Kefeng Liu

Analysis of PDEs mathscidoc:1912.43127

arXiv preprint arXiv:1612.07934, 2016.12
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[252] Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D

Kefeng Liu Yuan Yuan

Analysis of PDEs mathscidoc:1912.43125

arXiv preprint arXiv:1802.00127, 2018.2
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