Analysis of PDEs

[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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