Analysis of PDEs

[476] 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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[477] 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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[478] 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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[479] 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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[480] 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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[481] Oscillations induced by numerical viscosities

Shi Jin University of Wisconsin–Madison Jian-Guo Liu Temple University

Analysis of PDEs mathscidoc:1702.03073

Mat Contemp, 10, 169-180, 1996.1
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[482] 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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[483] 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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[484] 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
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[485] Global weak solution of planetary geostrophic equations with inviscid geostrophic balance

Jian-Guo Liu University of Maryland Roger Samelson Oregon State University Cheng Wang University of Tennessee

Analysis of PDEs mathscidoc:1702.03062

Applicable Analysis,, 85, (6), 593-605, 2006.6
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[486] 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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[487] 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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[488] 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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[489] 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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[490] 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
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[491] 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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[492] 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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[493] 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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[494] 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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[495] 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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[496] 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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[497] 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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[498] 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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[499] 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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[500] 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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