Analysis of PDEs

[26] Estimates of the gaps between consecutive eigenvalues of Laplacian

Daguang Chen Tsinghua University Hongcang Yang Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Tao Zheng School of Mathematics and Statistics, Beijing Institute of Technology,

Analysis of PDEs mathscidoc:1612.03002

Pacific J. Math. , 2016
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[27] 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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[28] Basic themes and pretty problems of nonlinear solid mechanics

Stuart S. Antman University of Maryland Jian-Guo Liu University of Maryland

Analysis of PDEs mathscidoc:1702.03058

Milan Journal of Mathematics , 75, (1), 135-176, 2007.12
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[29] Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier–Stokes system with vacuum and large initial data

Xiangdi Huang Institute of Mathematics, Academy of Mathematics and Systems Science

Analysis of PDEs mathscidoc:1803.03003

J. Math. Pures Appl., 106, (1), 123–154, 2016.2
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[30] Weyl-type asymptotic formula for Schr\"odinger operators on unbounded fractal spaces

Wei Tang Zhiyong Wang

Analysis of PDEs mathscidoc:2211.03001

2022.2
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[31] A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

Seung Yeal Ha Seoul National University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03054

Communications in Mathematical Sciences, 7, (2), 297-325, 2009.4
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[32] Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density

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

Analysis of PDEs mathscidoc:2301.03001

2023.1
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[33] Monge–Ampère equations in big cohomology classes

Sébastien Boucksom Institut de Mathématiques de Jussieu, CNRS–Université Pierre et Marie Curie Philippe Eyssidieux Institut Fourier, Université Grenoble 1 Vincent Guedj Institut de Mathématiques de Toulouse, Université Paul Sabatier Ahmed Zeriahi Institut de Mathématiques de Toulouse, Université Paul Sabatier

Analysis of PDEs Differential Geometry mathscidoc:1701.03002

Acta Mathematica, 205, (2), 199-262, 2009.1
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[34] 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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[35] On the formation of shocks for quasilinear wave equations

Shuang Miao University of Michigan Pin Yu Tsinghua University

Analysis of PDEs mathscidoc:1608.03001

Distinguished Paper Award in 2017

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[36] On a doubly critical Schrodinger system in R4 with steep potential wells

Yuanze Wu China University of Mining and Technology Wenming Zou Tsinghua University

Analysis of PDEs mathscidoc:1611.03004

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[37] Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two Higgs particles

Jann-Long Chern National central University Zhi-You Chen National Changhua University of Education Chang-Shou Lin National Taiwan University

Analysis of PDEs mathscidoc:1609.03004

Comm. Math. Phys. , 296, (2), 323–351. , 2010
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[38] 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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[39] Mean field equations, hyperelliptic curves and modular forms: I

Ching-Li Chai U. Pennsylvania Chang-Shou Lin National Taiwan U. Chin-Lung Wang National Taiwan U.

Analysis of PDEs mathscidoc:1610.03001

Cambridge J. Math., 3, 127-274, 2015
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[40] Refined hyper-contractivity and uniqueness for the Keller-Segel equations

Jian-Guo Liu Duke University Jinhuan Wang Liaoning University

Analysis of PDEs mathscidoc:1702.03028

Applied Mathematics Letters, 52, 212–219, 2016.2
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[41] The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures

Alexander I. Bufetov Aix-Marseille Université, Centrale Marseille, CNRS, I2M, UMR7373, 39 Rue F. Joliot Curie, Marseille Cedex 13, France Yanqi Qiu Aix-Marseille Université, Centrale Marseille, CNRS, I2M, UMR7373, 39 Rue F. Joliot Curie, Marseille Cedex 13, France

Analysis of PDEs Functional Analysis mathscidoc:1701.03015

Arkiv for Matematik, 1-33, 2015.1
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[42] 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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[43] 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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[44] A Holder estimate for non-uniform elliptic equations in a random medium

Li-Ming Yeh National Chiao Tung University Shiah-Sen Wang National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03010

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[45] Cutoff Boltzmann equation with polynomial perturbation near Maxwellian

Chuqi Cao Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs mathscidoc:2211.03002

Journal of Functional Analysis, 2022.11
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[46] Some compactness criteria for weak solutions of time fractional PDEs

Lei Li Jian-Guo Liu

Analysis of PDEs mathscidoc:1905.03006

SIAM J. Math. Anal., 50, 3963-3995, 2018
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[47] On convolution groups of completely monotone sequences/functions and fractional calculus

LEI LI Duke University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03005

2017.1
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[48] 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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[49] Front Quenching in G-equation Model Induced by Straining of Cellular Flow

Jack Xin University of California at Irvine Yifeng Yu University of California at Irvine

Analysis of PDEs mathscidoc:1608.03003

Distinguished Paper Award in 2017

Archive for Rational Mechanics and Analysis, 214, (1), 2014
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[50] Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton

Yvan Martel Université de Versailles St-Quentin and Institut Universitaire de France, LMV CNRS UMR8100, Versailles Cedex, France Frank Merle Université de Cergy Pontoise and Institut des Hautes Études Scientifiques, AGM CNRS UMR8088, Paris, France Pierre Raphaël Université Paul Sabatier and Institut Universitaire de France, IMT CNRS UMR 5219, Toulouse, France

Analysis of PDEs mathscidoc:1701.03012

Acta Mathematica, 212, (1), 59-140, 2012.2
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