Analysis of PDEs

[476] 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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[477] 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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[478] 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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[479] 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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[480] 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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[481] 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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[482] 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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[483] Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm

Qiwei Zhan Mingwei Zhuang Zhennan Zhou Jian-Guo Liu Qing Huo Liu

Analysis of PDEs mathscidoc:1905.03002

IEEE Trans. Geosci. Remote Sens., 2019
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[484] 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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[485] 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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[486] 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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[487] 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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[488] 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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[489] 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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[490] 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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[491] 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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[492] 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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[493] 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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[494] 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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[495] 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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[496] 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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[497] 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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[498] 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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[499] 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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[500] 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
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