Analysis of PDEs

[1] 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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[2] Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Yong Huang Hunan university Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03003

Silver Award Paper in 2017

Acta Mathematica, 216, (2), 325–388, 2016.11
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[3] Trace theorems for some nonlocal energy spaces with heterogeneous localization

Xiaochuan Tian Columbia University Qiang Du Columbia University

Analysis of PDEs mathscidoc:1703.03009

SIAM J. Mathematical Analysis, 2017
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[4] Calabi-Yau manifolds with isolated conical singularities

Hans-Joachim Hein Fordham University Song Sun Stony Brook University

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics Symplectic Geometry mathscidoc:1806.01002

Distinguished Paper Award in 2018

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
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[5] 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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[6] Optimal Sobolev norms and the Lp Minkowski problem

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Convex and Discrete Geometry mathscidoc:1703.03002

International Mathematics Research Notices, 62987, 2006
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[7] Semiclassical measures on hyperbolic surfaces have full support

Semyon Dyatlov University of California, Berkeley and Massachusetts Institute of Technology Long Jin Yau Mathematical Science Center, Tsinghua University

Analysis of PDEs Dynamical Systems mathscidoc:1808.03001

Best Paper Award in 2018

Acta Mathematica, 220, (2), 297 – 339, 2018
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[8] On improved fractional Sobolev–Poincaré inequalities

Bartłomiej Dyda Faculty of Pure and Applied Mathematics, Wrocław University of Technology Lizaveta Ihnatsyeva Department of Mathematics, Kansas State University Antti V. Vähäkangas Department of Mathematics and Statistics, University of Jyvaskyla

Analysis of PDEs Functional Analysis mathscidoc:1701.03014

Arkiv for Matematik, 1-18, 2014.5
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[9] Wave propagation speed on fractals

Sze-Man Ngai Hunan Normal University and Georgia Southern University Wei Tang Hunan Normal University Yuanyuan Xie Hunan Normal University

Analysis of PDEs mathscidoc:1701.03001

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[10] Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows

N. Benjamin Murphy University of California at Irvine Elena Cherkaev University of Utah Jack Xin University of California at Irvine Jingyi Zhu University of Utah Kenneth M. Golden University of Utah

Analysis of PDEs mathscidoc:1608.03002

Annals of Mathematical Sciences and Applications, 0, (0), 2014.1
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[11] A geometric approach to generalized Stokes conjectures

Eugen Varvaruca Department of Mathematics and Statistics, University of Reading Georg S. Weiss Mathematical Institute, Heinrich Heine University

Analysis of PDEs Geometric Modeling and Processing mathscidoc:1701.03003

Acta Mathematica, 206, (2), 363-403, 2009.8
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[12] Generalized characteristics and Lax-Oleinik operators: global theory

Piermarco Cannarsa Universit\`a di Roma ``Tor Vergata'', Italy Wei Cheng Nanjing University, China

Analysis of PDEs mathscidoc:1701.03036

2016
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[13] Efficient Parallel Simulation of Blood Flows in Abdominal Aorta

Shanlin Qin Rongliang Chen Ngai-Ching Wong 陳界山

Analysis of PDEs mathscidoc:1909.01001

SIAM Journal on Scientific Computing, 34, 2019.5
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[14] Uncertain Multilevel Programming: Algorithm and Applications

Baoding Liu Tsinghua University Kai Yao University of Chinese Academy of Sciences

Analysis of PDEs mathscidoc:1611.03002

Computers & Industrial Engineering, 89, 235-240, 2015
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[15] 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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[16] 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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[17] 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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[18] 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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[19] Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime

Yuan Gao Fudan University Jian-Guo Liu Duke University Jianfeng Lu Duke University

Analysis of PDEs mathscidoc:1702.03007

2017.1
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[20] 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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[21] 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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[22] 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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[23] Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping

TAO LUO Georgetown University Huihui Zeng Tsinghua University

Analysis of PDEs mathscidoc:1703.03011

Distinguished Paper Award in 2017

Comm. Pure Appl. Math. , 69
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[24] 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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[25] 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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[26] 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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[27] 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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[28] 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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[29] 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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[30] Mean Field Equation of Liouville Type with Singular Data Topological Degree

CHIUN-CHUAN CHEN National Taiwan University Chang-Shou Lin National Taiwan University

Analysis of PDEs mathscidoc:1705.03004

CPAM, 887-947, 2015
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[31] 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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[32] 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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[33] 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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[34] 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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[35] 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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[36] On classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum

Xiangdi Huang Academy of Mathematics and Systems Science

Analysis of PDEs mathscidoc:2212.03001

Siam.JMA, 54, (3), 3192-3214, 2022.6
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[37] Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve

Jean Bourgain School of Mathematics, Institute for Advanced Study Alex Gamburd Department of Mathematics, University of California at Santa Cruz Peter Sarnak School of Mathematics, Institute for Advanced Study

Analysis of PDEs Combinatorics Functional Analysis mathscidoc:1701.03005

Acta Mathematica, 207, (2), 255-290, 2009.12
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[38] Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces

Jens Habermann Department Mathematik, Universität Erlangen

Analysis of PDEs mathscidoc:1701.03033

Arkiv for Matematik, 54, (1), 85-123, 2015.1
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[39] Evolution of the two dimensional Boussinesq system

Tai-Man Tang Xiangtan University Ye Xie Xiangtan University

Analysis of PDEs mathscidoc:1703.03008

Dynamics of Partial Differential Equations, 13, (4), 333-350, 2016
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[40] Heterogeneously localized nonlocal operators, boundary traces and variational problems

Qiang Du Columbia University Xiaochuan Tian Columbia University

Analysis of PDEs mathscidoc:1703.03010

Proceedings of ICCM 2016, 2017
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[41] On the regularity of solutions to a generalization of the Minkowski problem

Erwin Lutwak New York University Vladimir Oliker Emory University

Analysis of PDEs mathscidoc:1703.03001

Journal of Differential Geometry, 41, (1), 227–246, 1995
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[42] Stable hypersurfaces with zero scalar curvature in Euclidean space

Hilário Alencar Instituto de Matemática, Universidade Federal de Alagoas Manfredo do Carmo Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, RJ, Brazil Gregório Silva Neto Instituto de Matemática, Universidade Federal de Alagoas

Analysis of PDEs Differential Geometry mathscidoc:1701.03016

Arkiv for Matematik, 1-9, 2015.9
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[43] L^p gradient estimate for elliptic equations with high-contrast conductivities in R^n

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03011

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[44] 2D Homogeneous Solutions to the Euler Equation

Xue Luo Beihang University Roman Shvydkoy University of Illinois at Chicago

Analysis of PDEs mathscidoc:1701.03037

Communications in Partial Differential Equations, 40, 1666-1687, 2015
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[45] Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation

Jann-Long Chern Central University

Analysis of PDEs mathscidoc:1803.03005

Journal of Differential Equations, (264), 550–574, 2018
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[46] A model of radiational gaseous stars

Kefeng Liu

Analysis of PDEs mathscidoc:1912.43088

SIAM Journal on Mathematical Analysis, 50, (6), 6100-6155, 2018.12
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[47] 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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[48] The logarithmic Minkowski problem

Károly J. Böröczky Alfréd Rényi Institute of Mathematics Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03082

Journal of the American Mathematical Society, 26, (3), 831–852, 2013
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[49] Spectroscopic imaging of a dilute cell suspension

Habib Ammari ETH Zürich Josselin Garnier Université Paris VII Laure Giovangigli University of California at Irvine Wenjia Jing Tsinghua University Jin-Keun Seo Yonsei University

Analysis of PDEs mathscidoc:1702.03080

J. Math. Pures Appl., 105, (5), 603-661, 2016
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[50] On the Free Surface Motion of Highly Subsonic Heat-conducting Inviscid Flows

Tao Luo City University of Hong Kong Huihui Zeng Tsinghua University

Analysis of PDEs mathscidoc:1911.03003

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[51] 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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[52] Regularity of the Schrödinger equation for the harmonic oscillator

Bruno Bongioanni Instituto de Matemática Aplicada del Litoral, CONICET Keith M. Rogers Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas

Analysis of PDEs mathscidoc:1701.03019

Arkiv for Matematik, 49, (2), 217-238, 2009.8
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[53] Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density

Thierry Goudon INRIA Sophia Antipolis Méditerranée and Labo. J. A. Dieudonné Shi Jin Institute of Natural Sciences, and Ministry of Education Key Laboratory of Scientific and Engineering Computing, Shanghai Jiao Tong University Jian-Guo Liu Duke University Bokai Yan University of California, Los Angeles

Analysis of PDEs mathscidoc:1702.03036

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 75, (1), 81–102, 2014.2
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[54] Transonic Shocks for the Full Compressible Euler Systems in a general two-dimensional de Laval nozzle

Jun Li Stanford University Zhouping Xin The Chinese University of Hong Kong Huicheng Yin Nanjing University

Analysis of PDEs mathscidoc:1705.03007

ARMA, 207, (2), 2013
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[55] 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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[56] 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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[57] Global Well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional Compressible Navier-Stokes equations

XIANGDI HUANG University of Science and Technology of China JING LI Academy of Mathematics and Systems Science ZHOUPING XIN The Chinese University of Hong Kong

Analysis of PDEs Mathematical Physics mathscidoc:1705.03006

Silver Award Paper in 2017

CPAM, 14, (4), 791-825, 2012
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[58] 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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[59] Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations

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

Analysis of PDEs mathscidoc:1803.03001

Silver Award Paper in 2020

Arch. Ration. Mech. Anal., 227, (3), 995-1059, 2018.3
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[60] 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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[61] 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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[62] Entire solutions with merging three fronts to the Allen-Cahn equation

Yan-Yu Chen Tamkang University Jong-Shenq Guo Tamkang University Hirokazu Ninomiya Meiji University Chih-Hong Yao Tamkang University

Analysis of PDEs mathscidoc:1609.03007

2016.8
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[63] 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

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[64] The existence and nonexistence of global solutions for a semilinear heat equation on graphs

Yong Lin Renmin University of China Yiting Wu Renmin University of China

Analysis of PDEs Combinatorics mathscidoc:1804.03003

Calculus of Variations and Partial Differential Equations, 56, 2017.3
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[65] 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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[66] Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0

Shen Bian Tsinghua University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03040

Communications in Mathematical Physics, 323, (3), 1017–1070, 2013.11
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[67] Resonance-free region in scattering by a strictly convex obstacle

Long Jin Department of Mathematics, University of California, Berkeley

Analysis of PDEs Functional Analysis mathscidoc:1701.03029

Arkiv for Matematik, 52, (2), 257-289, 2012.12
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[68] Random conformal weldings

Kari Astala Department of Mathematics and Statistics, University of Helsinki Antti Kupiainen Department of Mathematics and Statistics, University of Helsinki Eero Saksman Department of Mathematics and Statistics, University of Helsinki Peter Jones Department of Mathematics, Yale University

Analysis of PDEs Functional Analysis Probability mathscidoc:1701.03004

Acta Mathematica, 207, (2), 203-254, 2009.9
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[69] An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations

Thomas Y. Hou Caltech Zuoqiang Shi Tsinghua University

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:1709.03002

Journal of Computational Physics, 227, 8968-8991, 2008
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[70] Least action principles for incompressible flows and optimal transport between shapes

Jian-Guo Liu Duke University Robert L. Pego Department of Mathematical Sciences and Center for Nonlinear Analysis Dejan Slepčev Department of Mathematical Sciences and Center for Nonlinear Analysis

Analysis of PDEs mathscidoc:1702.03006

2017.1
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[71] 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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[72] Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions

Jian-Guo Liu Duke University Xiangsheng Xu Mississippi State University

Analysis of PDEs mathscidoc:1702.03002

2017.2
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[73] Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary.

Jann-Long Chern National Central University Chang-Shou Lin National Taiwn University

Analysis of PDEs mathscidoc:1609.03003

Arch. Ration. Mech. Anal., 197, (2), 401–432, 2010
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[74] 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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[75] Mean Field Equations, Hyperelliptic curves and modular forms II

Chang-Shou Lin National Taiwan University Chin-Lung Wang National Taiwan University

Analysis of PDEs Geometric Analysis and Geometric Topology mathscidoc:1705.03001

Silver Award Paper in 2017

The Journal de Ecole polytechnique , 2017.3
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[76] Uniform bound and convergence for elliptic homogenization problems

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03015

[ Download ] [ 2016-09-21 22:55:32 uploaded by liming ] [ 970 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] 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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[78] Pointwise estimate for elliptic equations in periodic perforated domains

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03017

[ Download ] [ 2016-09-21 23:17:46 uploaded by liming ] [ 959 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] The Fu–Yau equation with negative slope parameter

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

Analysis of PDEs Complex Variables and Complex Analysis Differential Geometry mathscidoc:1810.03001

Distinguished Paper Award in 2018

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[80] Classification of nondegeneracy of Toda system with singular sources

Chang-Shou Lin National Taiwan University Juncheng Wei Chinese University of Hong Kong Dong Ye Université de Metz

Analysis of PDEs Differential Geometry mathscidoc:1705.03005

Distinguished Paper Award in 2017

Inventions , 169-207, 2012
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[81] On the Finite-time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

KYUDONG CHOI Ulsan National Institute of Science and Technology THOMAS Y. HOU California Institute of Technology ALEXANDER KISELEV Rice University GUO LUO City University of Hong Kong VLADIMIR SVERAK University of Minnesota YAO YAO Georgia Institute of Technology

Analysis of PDEs mathscidoc:1705.03003

Distinguished Paper Award in 2017

CPAM, 2017
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[82] 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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[83] Global solutions of the gravity-capillary water-wave system in three dimensions

Yu Deng New York University Alexandru D. Ionescu Princeton University Benoît Pausader Princeton University Fabio Pusateri Princeton University

Analysis of PDEs mathscidoc:1911.43018

Acta Mathematica, 219, (2), 213 – 402, 2017
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[84] A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation

Jian-Guo Liu Duke University Jinhuan Wang Liaoning University

Analysis of PDEs mathscidoc:1702.03018

IOPscience, 30, (1), 35–60, 2017.1
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[85] On the topology of the set of singularities of a solution of the Hamilton-Jacobi equation

Piermarco Cannarsa Universit\`a di Roma ``Tor Vergata'', Italy Wei Cheng Nanjing University, China Albert Fathi ENS de Lyon \& IUF, France

Analysis of PDEs mathscidoc:1701.03035

Distinguished Paper Award in 2017

2016
[ Download ] [ 2017-01-24 22:33:10 uploaded by treatise ] [ 936 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] 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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[87] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

Pengfei Guan McGill University Siyuan Lu McGill University

Analysis of PDEs Differential Geometry mathscidoc:1811.03001

[ Download ] [ 2018-11-23 01:12:18 uploaded by Siyuan ] [ 923 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] Global existence of solutions to a tear film model with locally elevated evaporation rates

Yuan Gao Fudan University Hangjie Ji Duke University Jian-Guo Liu Duke University Thomas P. Witelski Duke University

Analysis of PDEs mathscidoc:1702.03001

2017.2
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[89] A volume preserving flow and the isoperimetric problem in warped product spaces

Pengfei Guan McGill University Junfang Li University of Alabama Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Metric Geometry mathscidoc:1804.03009

[ Download ] [ 2018-04-30 14:24:26 uploaded by mutaowang ] [ 909 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] Homogenization of interfaces moving in spatially random temporally periodic environment

Wenjia Jing Tsinghua University Hung V. Tran University of Wisconsin at Madison Panagiotis E. Souganidis The University of Chicago

Analysis of PDEs mathscidoc:1806.03001

[ Download ] [ 2018-06-07 20:18:55 uploaded by wjing ] [ 909 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

Hao Jia UNIVERSITY OF MINNESOTA Vladimir Sverak UNIVERSITY OF MINNESOTA

Analysis of PDEs mathscidoc:1804.03008

Distinguished Paper Award in 2018

Invent math, 196, (1), 233-265, 2014.4
[ Download ] [ 2018-04-27 11:35:47 uploaded by HJia ] [ 908 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation

Tao Luo Georgetown University Zhouping Xin Chinese University of Hong Kong Huihui Zeng Tsinghua University

Analysis of PDEs mathscidoc:1703.03013

Arch. Ration. Mech. Anal., 213
[ Download ] [ 2017-03-29 20:36:30 uploaded by hhzeng ] [ 904 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Elliptic and parabolic equations in fractured media

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03012

[ Download ] [ 2016-09-21 22:45:10 uploaded by liming ] [ 902 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[94] Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion

Chongsheng Cao Florida International Uni Jinkai Li South China Normal University Edriss S. Titi Texas A&M University

Analysis of PDEs mathscidoc:1905.03007

Gold Award Paper in 2020

Communications on Pure and Applied Mathematics, 69, (8), 2016
[ Download ] [ 2019-05-20 11:41:04 uploaded by jklimath ] [ 901 downloads ] [ 55 comments ] [ Abstract ] [ Full ]
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[95] 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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[96] Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Jean Bourgain Dong Li

Analysis of PDEs mathscidoc:1702.03081

Inventiones Mathematicae, 201, (1), 97-157, 2015
[ Download ] [ 2017-02-26 22:01:41 uploaded by madli ] [ 899 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[97] 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
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[98] Removable singularity of positive solutions for a critical elliptic system with isolated singularity

Zhijie Chen Taiwan University Chang-Shou Lin Taiwan University

Analysis of PDEs mathscidoc:1803.03007

Mathematische Annalen, 363, 501-523, 2015.2
[ Download ] [ 2018-03-18 13:52:10 uploaded by zjchen ] [ 895 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] Non-uniform elliptic equations in convex Lipschitz domains

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03013

[ Download ] [ 2016-09-21 22:47:26 uploaded by liming ] [ 892 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] Spectral analysis of the subelliptic oblique derivative problem

Kazuaki Taira University of Tsukuba

Analysis of PDEs mathscidoc:1803.43019

Arkiv for Matematik, 55, 2017
[ Download ] [ 2018-03-01 17:20:35 uploaded by arkivadmin ] [ 892 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[101] 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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[102] Kazdan–Warner equation on graph

Alexander Grigor’yan University of Bielefeld Yong Lin Renmin University of China Yunyan Yang Renmin University of China

Analysis of PDEs Combinatorics mathscidoc:1804.03002

Calculus of Variations and Partial Differential Equations, 55, 2016.7
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[103] Stability of Traveling Waves of Nonlinear Schrödinger Equation with Nonzero Condition at Infinity

Zhiwu Lin Georgia Institute of Technology 王征平 Wuhan University of Technology Chongchun Zeng Georgia Institute of Technology

Analysis of PDEs mathscidoc:1702.03015

Arch. Rational Mech. Anal., 222, (1), 143-212, 2016.10
[ Download ] [ 2017-02-07 18:04:25 uploaded by ZhengpingWang ] [ 885 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[104] Starshaped compact hypersurfaces with prescribed Weingarden curvature in warped product manifolds

Daguang Chen Tsinghua University Haizhong Li Tsinghua University Zhizhang Wang Fudan University

Analysis of PDEs Differential Geometry mathscidoc:1810.03003

Distinguished Paper Award in 2018

Calc. Var. Partial Differential Equations, 57, (2), 2018.2
[ Download ] [ 2018-10-30 19:03:08 uploaded by Daguang ] [ 885 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[105] 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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[106] Compression bounds for Lipschitz maps from the Heisenberg group to$L$_{1}

Jeff Cheeger Courant Institute, New York University Bruce Kleiner Courant Institute, New York University Assaf Naor Courant Institute, New York University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1701.03006

Acta Mathematica, 207, (2), 291-373, 2009.11
[ Download ] [ 2017-01-08 20:33:57 uploaded by actaadmin ] [ 882 downloads ] [ 0 comments ] [ Cited by 25 ] [ Abstract ] [ Full ]
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[107] Global integral gradient bounds for quasilinear equations below or near the natural exponent

Nguyen Cong Phuc Department of Mathematics, Louisiana State University

Analysis of PDEs mathscidoc:1701.03028

Arkiv for Matematik, 52, (2), 329-354, 2012.6
[ Download ] [ 2017-01-08 20:36:37 uploaded by arkivadmin ] [ 882 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]
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[108] A proof of Bondesson’s conjecture on stable densities

Pierre Bosch Laboratoire Paul Painlevé, Université Lille 1 Thomas Simon Laboratoire Paul Painlevé, Université Lille 1

Analysis of PDEs mathscidoc:1701.03032

Arkiv for Matematik, 54, (1), 31-38, 2014.11
[ Download ] [ 2017-01-08 20:36:41 uploaded by arkivadmin ] [ 879 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[109] Hölder regularity for degenerate parabolic obstacle problems

Verena Bögelein Universität Salzburg Christoph Scheven Universität Duisburg-Essen Teemu Lukkari Aalto University

Analysis of PDEs mathscidoc:1803.43007

Arkiv for Matematik, 55, 2017
[ Download ] [ 2018-03-01 15:24:35 uploaded by arkivadmin ] [ 878 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[110] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology Mathematical Physics mathscidoc:1804.03011

[ Download ] [ 2018-04-30 14:38:09 uploaded by mutaowang ] [ 877 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[111] Yamabe type equations on graphs

Alexander Grigor’yan University of Bielefeld Yong Lin Renmin University of China Yunyan Yang Renmin University of China

Analysis of PDEs Combinatorics mathscidoc:1804.03001

Journal of Differential Equations, 261, 4924-4943, 2016.2
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[112] Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities

Tao Luo City University of Hong Kong Zhouping Xin Chinese University of Hong Kong Huihui Zeng Tsinghua University, Harvard University CMSA

Analysis of PDEs mathscidoc:1703.03012

Comm. Math. Phy, 347
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[113] Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori

Zhijie Chen Tsinghua University Chang-Shou Lin Taiwan University

Analysis of PDEs mathscidoc:1906.03004

Journal of Differential Geometry, 118, 457-485, 2021.7
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[114] A strong stability condition on minimal submanifolds and its implications

Chung-Jun Tsai National Taiwan University Mu-Tao Wang Columbia University

Analysis of PDEs Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1804.03010

[ Download ] [ 2018-04-30 14:31:24 uploaded by mutaowang ] [ 871 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[115] Quermassintegral preserving curvature flow in hyperbolic space

Ben Andrews Australian National University Yong Wei Australian National University

Analysis of PDEs Differential Geometry mathscidoc:1810.03002

Distinguished Paper Award in 2018

Geometric and Functional Analysis, 28, 1183–1208, 2018.10
[ Download ] [ 2018-10-30 17:05:19 uploaded by WeiYong ] [ 871 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[116] Asymptotic behavior of positive singular solutions to fractional Hardy-Henon equations

Hui Yang Tsinghua University Wenming Zou Tsinghua University

Analysis of PDEs mathscidoc:1901.03004

[ Download ] [ 2019-01-09 08:51:56 uploaded by huiy ] [ 869 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[117] On a K-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case

Yuanze Wu China University of Mining and Technology

Analysis of PDEs mathscidoc:1904.03002

Calculus of Variations and Partial Differential Equations, 56, (1), 151, 2017.9
[ Download ] [ 2019-04-14 04:07:34 uploaded by wuyz850306 ] [ 869 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[118] A Nonlocal Stokes system with volume constraints

Qiang Du Columbia University, Zuoqiang Shi Tsinghua University

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:1711.03001

[ Download ] [ 2017-11-07 10:52:47 uploaded by shizqi ] [ 865 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[119] Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

Zhilin Li North Carolina State University Haifeng Ji Nanjing University of Posts and Telecommunication Xiaohong Chen North Carolina State University

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:1804.03006

SIAM Journal on Numerical Analysis, 55, (2), 570–597, 2017.3
[ Download ] [ 2018-04-05 02:43:00 uploaded by xiaohong_chen1991 ] [ 865 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[120] Fluctuations in the Homogenization of Semilinear Equations with Random Potentials

Guillaume Bal Columbia University Wenjia Jing The University of Chicago

Analysis of PDEs mathscidoc:1702.03010

Communications in Partial Differential Equations, 42, (12), 1839--1859, 2016
[ Download ] [ 2017-02-06 15:58:57 uploaded by wjing ] [ 863 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[121] Continuum dynamics of the intention field under weakly cohesive social interaction

Pierre Degond South Kensington Campus, Jian-Guo Liu Department of Physics, Duke University Sara Merino-Aceituno South Kensington Campus Thomas Tardiveau Ecole Polytechnique, Route de Saclay

Analysis of PDEs mathscidoc:1702.03014

Mathematical Models and Methods in Applied Sciences, 27, (1), 159-182, 2017.1
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[122] Spikes of the two-component elliptic system in R4 with the critical Sobolev exponent

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

Analysis of PDEs mathscidoc:1901.03001

Calculus of Variations and Partial Differential Equations, 58, (1), 24, 2019.1
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[123] The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

Jann-Long Chern Central University

Analysis of PDEs mathscidoc:1803.03006

JOURNAL OF MATHEMATICAL PHYSICS, 58, 071503, 2017
[ Download ] [ 2018-03-05 21:34:27 uploaded by chern ] [ 857 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[124] Directional Poincaré inequalities along mixing flows

Stefan Steinerberger Department of Mathematics, Yale University

Analysis of PDEs Differential Geometry mathscidoc:1701.03017

Arkiv for Matematik, 1-15, 2015.11
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[125] On the role of Riesz potentials in Poisson's equation and Sobolev embeddings

Daniel Spector National Chiao Tung University Rahul Garg Technion

Analysis of PDEs mathscidoc:1703.03004

Indiana Univ. Math. J., 64, (6), 1697–1719., 2015
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[126] $R$ -Boundedness versus $\gamma$ -boundedness

Stanislaw Kwapień Institute of Mathematics, Warsaw University Mark Veraar Delft Institute of Applied Mathematics, Delft University of Technology Lutz Weis Institut für Analysis, Karlsruhe Institute of Technology

Analysis of PDEs Functional Analysis mathscidoc:1701.03034

Arkiv for Matematik, 54, (1), 125-145, 2014.11
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[127] On a new class of partial differential equations

Daniel Spector National Chiao Tung University Tien-Tsan Shieh National Central University

Analysis of PDEs mathscidoc:1703.03003

Adv. Calc. Var. 8 , 8, (4), 321–336. , 2015
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[128] On the formation of trapped surfaces

Sergiu Klainerman Department of Mathematics, Princeton University Igor Rodnianski Department of Mathematics, Princeton University

Analysis of PDEs Mathematical Physics mathscidoc:1701.03008

Acta Mathematica, 208, (2), 211-333, 2010.2
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[129] Regularity for a fractional $p$-Laplace equation

Daniel Spector National Chiao Tung University Armin Schikorra University of Frieberg Tien-Tsan Shieh National Central University

Analysis of PDEs mathscidoc:1703.03005

Communications in Contemporary Mathematics
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[130] 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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[131] On Weyl's embedding problem in Riemannian manifolds

Siyuan Lu Rutgers University

Analysis of PDEs Differential Geometry mathscidoc:1904.03006

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[132] Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model

Zhi-You Chen National Changhua University of Education Jann-Long Chern National Central University

Analysis of PDEs mathscidoc:1609.03002

J. Funct. Anal. , 270, (6), 2073–2125, 2016.2
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[133] Operator-Lipschitz functions in Schatten–von Neumann classes

Denis Potapov School of Mathematics & Statistics, University of New South Wales Fedor Sukochev School of Mathematics & Statistics, University of New South Wales

Analysis of PDEs Spectral Theory and Operator Algebra mathscidoc:1701.03007

Acta Mathematica, 207, (2), 375-389, 2009.5
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[134] 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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[135] Convergence for elliptic equations in periodic perforated domains

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03014

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[136] Holder estimate for non-uniform parabolic equations in highly heterogeneous media

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03016

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[137] The convergence Newton polygon of a$p$-adic differential equation II: Continuity and finiteness on Berkovich curves

Jérôme Poineau Laboratoire de mathématiques Nicolas Oresme, Université de Caen Andrea Pulita Département de mathématiques, Université de Montpellier II, CC051

Analysis of PDEs mathscidoc:1701.03013

Acta Mathematica, 214, (2), 357-393, 2014.6
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[138] Spectral asymptotics of one-dimensional graph-directed self-similar measures with overlaps

Sze-Man Ngai Georgia Southern University and Georgia Southern University Yuanyuan Xie Renmin University of China

Analysis of PDEs mathscidoc:1901.03006

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[139] 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
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[140] The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems

Han Hong Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland Ning Zhang University of Alberta

Analysis of PDEs Functional Analysis Convex and Discrete Geometry mathscidoc:1805.03001

Calculus of Variations and Partial Differential Equations, 57, 5, 2018.2
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[141] Embedded minimal tori in$S$^{3}and the Lawson conjecture

Simon Brendle Department of Mathematics, Stanford University

Analysis of PDEs Differential Geometry mathscidoc:1701.03010

Acta Mathematica, 211, (2), 177-190, 2012.4
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[142] A four-dimensional Neumann ovaloid

Lavi Karp ORT Braude College Erik Lundberg Florida Atlantic University

Analysis of PDEs Geometric Analysis and Geometric Topology Numerical Analysis and Scientific Computing mathscidoc:1803.43015

Arkiv for Matematik, 55, 2017
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[143] Self-dual radial non-topological solutions to a competitive Chern-Simons model

Zhijie Chen Tsinghua University Chang-Shou Lin Taiwan University

Analysis of PDEs mathscidoc:1901.03005

Advances in Mathematics, 331, 484-541, 2018
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[144] Asymptotic behavior of solutions to a class of diffusive predator-prey systems

Arnaud Ducrot University of Bordeaux Jong-Shenq Guo Tamkang University

Analysis of PDEs mathscidoc:1609.03009

2016.6
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[145] Heat equations defined by a class of fractal measures

Wei Tang Hunan First Normal University Sze-Man Ngai Georgia Southern University and Hunan Normal University

Analysis of PDEs mathscidoc:1809.03001

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[146] Flow on sweeping networks

Pierre Degond Institut de Math´ematiques de Toulouse Michael Herty RWTH Aachen Universit Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03035

MULTISCALE MODEL. SIMUL, 12, (2), 538–565, 2014.2
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[147] Addendum: 2D homogeneous solutions to the Euler equation

Xue Luo Beihang University Roman Shvydkoy University of Illinois at Chicago

Analysis of PDEs mathscidoc:1804.03007

Comm.Partial DifferentialEquations, 42, (3), 491-493, 2017
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[148] The quenching rate for a nonlocal problem arising in the micro-electro mechanical system

Jong-Shenq Guo Tamkang University Bei Hu University of Notre Dame

Analysis of PDEs mathscidoc:1609.03008

2016.8
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[149] Extrapolation from $A_{\infty}^{\rho,\infty}$ , vector-valued inequalities and applications in the Schrödinger settings

Lin Tang LMAM, School of Mathematical Science, Peking University

Analysis of PDEs mathscidoc:1701.03027

Arkiv for Matematik, 52, (1), 175-202, 2012.4
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[150] Uniqueness of positive solution to some coupled cooperative variational elliptic systems

Jann-Long Chern Central University

Analysis of PDEs mathscidoc:1803.03004

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018
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[151] Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

Wenting Cong Jilin University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03017

Discrete and Continuous Dynamical Systems - Series B, 22, (2), 307-338, 2017.2
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[152] 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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[153] 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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[154] Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Huajun Gong Shenzhen University Jinkai Li South China Normal University Xian-Gao Liu Fudan University Xiaotao Zhang South China Normal University

Analysis of PDEs mathscidoc:1905.03008

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[155] 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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[156] 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

Comm. Pure Appl. Math., 75, (11), 2393–2445, 2022.11
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[157] Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data

Jian-Guo Liu Temple University Zhouping Xin Courant Institute

Analysis of PDEs mathscidoc:1702.03075

Communications on Pure & Applied Mathematics, 48, (6), 611-628, 1995.1
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[158] An accurate front capturing scheme for tumor growth models with a free boundary limit

Jian-Guo Liu Min Tang

Analysis of PDEs mathscidoc:1905.43003

J. Comput. Phy,, 364, 73-94, 2018
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[159] Instability of spherical naked singularities of a scalar field under gravitational perturbations

Junbin Li Sun Yat-sen University Jue Liu Sun Yat-sen University

Analysis of PDEs Differential Geometry mathscidoc:1911.03002

2018
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[160] Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos

Hui Huang Tsinghua University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03023

Kinetic and Related Models, 9, (4), 715 - 748, 2016.12
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[161] A degenerate p-Laplacian Keller-Segel model

Wenting Cong Jilin University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03022

Kinetic and Related Models , 9, (4), 687-714, 2016.12
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[162] Maximal Marcinkiewicz multipliers

Petr Honzík Faculty of Mathematics and Physics, Charles University

Analysis of PDEs Functional Analysis mathscidoc:1701.03026

Arkiv for Matematik, 52, (1), 135-147, 2012.5
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[163] On a two-component Bose-Einstein condensate with steep potential wells

Yuanze Wu China University of Mining and Technology Tsung-fang Wu National University of Kaohsiung Wenming Zou Tsinghua University

Analysis of PDEs mathscidoc:1611.03003

[ Download ] [ 2016-11-29 17:52:25 uploaded by wzou ] [ 791 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[164] On a Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations

Jian-Guo Liu Department of Physics and Department of Mathematics, Duke University Xiangsheng Xu Department of Mathematics and Statistics, Mississippi State University

Analysis of PDEs mathscidoc:1702.03004

2017.1
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[165] Polynomial hulls and proper analytic disks

Armen Edigarian Institute of Mathematics, Jagiellonian University

Analysis of PDEs mathscidoc:1701.03023

Arkiv for Matematik, 50, (1), 59-67, 2009.12
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[166] 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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[167] A sharp lower bound for the log canonical threshold

Jean-Pierre Demailly Université de Grenoble I, Département de Mathématiques, Institut Fourier, Saint-Martin d’Hères, France Hoàng Hiệp Phạm Department of Mathematics, Hanoi National University of Education

Analysis of PDEs mathscidoc:1701.03011

Acta Mathematica, 212, (1), 1-9, 2012.1
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[168] 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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[169] On the quenching behavior of the MEMS with fringing field

Xue Luo Beihang University Stephen S.-T. Yau Tsinghua University

Analysis of PDEs mathscidoc:1611.03001

Quarterly of Applied Mathematics, 73, (4), 629-659, 2015.12
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[170] Homogenization and boundary layers

David Gérard-Varet Université Denis Diderot Paris 7, Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, Paris, France Nader Masmoudi New York University, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY, U.S.A.

Analysis of PDEs mathscidoc:1701.03009

Acta Mathematica, 209, (1), 133-178, 2010.6
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[171] Perturbation theorems for Hele-Shaw flows and their applications

Yu-Lin Lin Institute of Mathematics, Academia Sinica

Analysis of PDEs Differential Geometry mathscidoc:1701.03021

Arkiv for Matematik, 49, (2), 357-382, 2009.8
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[172] 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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[173] An improved Combes–Thomas estimate of magnetic Schrödinger operators

Zhongwei Shen Department of Mathematics and Statistics, Auburn University

Analysis of PDEs mathscidoc:1701.03030

Arkiv for Matematik, 52, (2), 383-414, 2013.1
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[174] Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows

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

Analysis of PDEs mathscidoc:1803.03002

Commun. Math. Phys, 324, (1), 147–171, 2013.2
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[175] A random particle blob method for the Keller-Segel equation and convergence analysis

Jian-Guo Liu Duke University Rong Yang Beijing University of Technology

Analysis of PDEs mathscidoc:1702.03016

MATHEMATICS OF COMPUTATION, 86, (304), 725–745, 2017.2
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[176] Thin film epitaxy with or without slope selection

BO LI University of Maryland Jian-Guo Liu University of Maryland

Analysis of PDEs mathscidoc:1702.03067

European Journal of Applied Mathematics, 14, (6), 713–743, 2003.2
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[177] Nonlinear stability of discrete shocks for systems of conservation laws

Jian-Guo Liu Courant Institute of Mathematical Sciences Zhouping Xin Courant Institute of Mathematical Sciences

Analysis of PDEs mathscidoc:1702.03076

Archive for Rational Mechanics and Analysis, 125, (3), 217–256, 1993.9
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[178] Topological multivortex solutions for the Chern-Simons system with two Higgs particles

Zhi-You Chen National Changhua University of Education Jann-Long Chern National Central University

Analysis of PDEs mathscidoc:1609.03001

Comm. Partial Differential Equations, 41, (4), 705–731, 2016.4
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[179] Invertibility of nonsmooth mappings

Marcelo Montenegro Universidade Estadual de Campinas Adilson Presoto Universidade Federal de São Carlos

Analysis of PDEs mathscidoc:1803.43017

Arkiv for Matematik, 55, 2017
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[180] An asymptotic propertiy of the Camassa-Holm equation

Jia Jia Tarim University Shun-Guang Kang Tarim University Tai-Man Tang Xiangtan University

Analysis of PDEs mathscidoc:1703.03007

Nonlinear Analysis: Theory, Methods and Applications, 97, 55-64, 2014
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[181] Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment

Wenjia Jing The University of Chicago Panagiotis E. Souganidis The University of Chicago Hung V. Tran University of Wisconsin at Madison

Analysis of PDEs mathscidoc:1702.03011

Distinguished Paper Award in 2017

Research in the Mathematical Sciences, 4, 2017
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[182] Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number

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

Analysis of PDEs mathscidoc:1802.03001

Comm. Math Physics, 2017
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[183] Uniform exponential stability of the Ekman spiral

Yoshikazu Giga Graduate School of Mathematical Sciences, University of Tokyo Jürgen Saal Mathematisches Institut, Heinrich-Heine-Universität Düsseldorf

Analysis of PDEs mathscidoc:1701.03031

Arkiv for Matematik, 53, (1), 105-126, 2013.5
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[184] Front propagation in heterogeneous media

Jack Xin

Analysis of PDEs mathscidoc:1912.43838

SIAM review, 42, (2), 161-230, 2000
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[185] Well-posedness for Hall-magnetohydrodynamics

Dongho Chae Chung-Ang University Pierre Degond Institut de Mathématiques de Toulouse Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03034

Annales De Linstitut Henri Poincare Non Linear Analysis, 31, (3), 555–565, 2014.5
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[186] Large-scale dynamics of Mean-Field Games driven by local Nash equilibria

Pierre Degond Institut de Mathématiques de Toulouse Jian-Guo Liu Duke University Christian Ringhofer School of Mathematics and Statistical Sciences

Analysis of PDEs mathscidoc:1702.03037

Journal of Nonlinear Science, 24, (1), 93-115, 2014.1
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[187] Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property

Riikka Korte Department of Mathematics and Statistics, University of Helsinki Niko Marola Department of Mathematics and Statistics, University of Helsinki Nageswari Shanmugalingam Department of Mathematical Sciences, University of Cincinnati

Analysis of PDEs mathscidoc:1701.03022

Arkiv for Matematik, 50, (1), 111-134, 2010.1
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[188] Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

Jian-Guo Liu Jianfeng Lu Dionisios Margetis Jeremy L. Marzuola

Analysis of PDEs mathscidoc:1905.43005

Physica D, 393, 54-67, 2019
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[189] Boundary integral operators and boundary value problems for Laplace’s equation

TongKeun Chang Department of Mathematics, Korea Institute of Advanced Studies John L. Lewis Mathematics Department, University of Kentucky

Analysis of PDEs mathscidoc:1701.03020

Arkiv for Matematik, 49, (2), 239-276, 2009.9
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[190] 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
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[191] Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows

Thierry Goudon CNRS & Université Nice Sophia Antipolis, France Shi Jin Ministry of Education Key Laboratory of Scientific and Engineering Computing Jian-Guo Liu Duke University Bokai Yan University of California

Analysis of PDEs mathscidoc:1702.03043

Journal of Computational Physics, 246, (1), 145–164, 2013.8
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[192] Error estimate of a random particle blob method for the Keller-Segel equation

Hui Huang Tsinghua Universit Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03012

MATHEMATICS OF COMPUTATION, 2017.1
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[193] 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
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[194] Non-uniqueness of Admissible Weak Solutions to Compressible Euler Systems with Source Terms

Tianwen Luo Tsinghua University Chunjing Xie Shanghai Jiao Tong University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:1906.03006

Advances in Mathematics, 291, 542-583, 2016.3
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[195] A normality criterion involving rotations and dilations in the argument

Jürgen Grahl Department of Mathematics, University of Würzburg

Analysis of PDEs mathscidoc:1701.03024

Arkiv for Matematik, 50, (1), 89-110, 2010.1
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[196] Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations - On Sharpness of J.-L. Lions Exponent

Tianwen Luo Tsinghua University Edriss S. Titi Texas A\&M University; University of Cambridge; The Weizmann Institute of Science

Analysis of PDEs mathscidoc:1906.03008

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[197] The dual Orlicz-Minkowski problem

Baocheng Zhu Hubei University for Nationalities Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03005

J. Geom. Anal., 28, (14), 3829–3855, 2018.12
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[198] Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics

Pierre Degond Université de Toulouse Amic Frouvelle Université Paris-Dauphine Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03031

Archive for Rational Mechanics and Analysis, 216, (1), 63-115, 2015.1
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[199] Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces

Yuan Gao Fudan University Jian-Guo Liu Duke University Jianfeng Lu Duke University

Analysis of PDEs mathscidoc:1702.03008

Distinguished Paper Award in 2017

Journal of Nonlinear Science, 1-54, 2017.1
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[200] 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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[201] 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

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[202] Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate

Jian-Guo Liu University of Maryland, College Park JIE LIU University of Maryland, College Park ROBERT L. PEGO Carnegie Mellon University

Analysis of PDEs mathscidoc:1702.03057

Communications on Pure and Applied Mathematics, 60, (10), 1443-1487, 2007.3
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[203] MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well-Posedness Theory

Liu Cheng-jie Shanghai Jiao Tong University Xie Feng Shanghai Jiao Tong University Yang Tong City University of Hong Kong

Analysis of PDEs mathscidoc:1903.03001

Communications on Pure and Applied Mathematics, 72, (1), 0063–0121, 2019.1
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[204] Limiting distribution of elliptic homogenization error with periodic diffusion and random potential

Wenjia Jing Tsinghua University

Analysis of PDEs mathscidoc:1702.03079

Analysis & PDE, 9, (1), 193--228., 2016
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[205] Existence and nonexistence to exterior Dirichlet problem for Monge-Ampere equation

YanYan Li Rutgers University Siyuan Lu Rutgers University

Analysis of PDEs mathscidoc:1904.03008

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[206] General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I

Richard J. Gardner Western Washington University Daniel Hug Karlsruhe Institute of Technology Wolfgang Weil Karlsruhe Institute of Technology Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03004

Calc. Var. PDE., 58, 12, 2019
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[207] Nonlinear Differential Equations in Geometry and Physics.

Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43728

1986.9
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[208] H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

Tianwen Luo Tsinghua University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:1906.03007

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[209] 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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[210] Evaluating solutions on an elliptic problem in a gravitational gauge field theory

Jann-Long Chern National Central Universiy Sze-Guang Yang National Central University

Analysis of PDEs mathscidoc:1609.03005

J. Funct. Anal. , 265, (7), 1240–1263, 2010
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[211] Some remarks on boundary operators of Bessel extensions

Daniel Spector National Chiao Tung University Jesse Goodman

Analysis of PDEs mathscidoc:1804.03005

Discrete Contin. Dyn. Syst. Ser. S, 11, (3), 2018
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[212] Qualitative analysis for an elliptic system in the punctured space

Hui Yang Tsinghua University Wenming Zou Tsinghua University

Analysis of PDEs mathscidoc:1901.03003

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[213] On a Schrodinger-Landau-Lifshitz system: Variational structure and numerical methods

Jingrun Chen Soochow University Jian-Guo Liu Duke University Zhennan Zhou Duke University

Analysis of PDEs mathscidoc:1702.03021

Multiscale Modeling and Simulation, 14, (4), 1463-1487, 2016.2
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[214] On Singularity Formation of a Nonlinear Nonlocal System

Thomas Y. Hou Caltech Congming Li University of Colorado Zuoqiang Shi Tsinghua University Shu Wang Beijing University of Technology Xinwei Yu University of Alberta

Analysis of PDEs mathscidoc:1803.03008

Archive for Rational Mechanics and Analysis, 199, 117-144, 2011
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[215] A new type of non-topological bubbling solutions to a competitive Chern-Simons model

Zhijie Chen Tsinghua University Chang-Shou Lin Taiwan University

Analysis of PDEs mathscidoc:1906.03005

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 19, 65-108, 2019
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[216] Maximization of the second non-trivial Neumann eigenvalue

Dorin Bucur Université Grenoble Alpes Antoine Henrot Université de Lorraine

Analysis of PDEs mathscidoc:1911.43032

Acta Mathematica, 222, (2), 337-361, 2019
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[217] 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
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[218] 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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[219] 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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[220] Analysis of polymeric flow models and related compactness theorems in weighted spaces

XIUQING CHEN Beijing University of Posts and Telecommunications Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03042

Siam Journal on Mathematical Analysis, 45, (3), 1179–1215, 2013.5
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[221] Existence of solutions to the even dual minkowski problem

Yiming Zhao New York University

Analysis of PDEs Convex and Discrete Geometry mathscidoc:1908.03002

Journal of Differential Geometry, 110, (3), 543-572, 2018
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[222] 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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[223] Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d

Shen Bian Ocean University of China Jian-Guo Liu Duke University Chen Zou Duke University

Analysis of PDEs mathscidoc:1702.03038

Kinetic & Related Models, 7, (1), 9 - 28, 2014.3
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[224] 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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[225] Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity

Jinkai Li South China Normal University

Analysis of PDEs mathscidoc:1906.03001

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[226] On the solutions to a Liouville-type system involving singularity

Jann-Long Chern National Central University Zhi-You Chen National Changhua University of Education Yong-Li Tang National Central University

Analysis of PDEs mathscidoc:1609.03006

Calc. Var. Partial Differential Equations, 43, (2), 57–81, 2012
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[227] Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles

Xiuqing Chen Beijing University of Posts and Telecommunications Xiaolong Li Beijing University of Posts and Telecommunications Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03033

Communications in Mathematical Sciences, 12, (8), 1579–1601, 2014.1
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[228] Ground-state solutions of a two-component elliptic system in R4 with the Sobolev critical exponent

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

Analysis of PDEs mathscidoc:1901.03002

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[229] Numerical methods for oscillatory solutions to hyperbolic problems

Bjorn Engquist University of California, Los Angeles Jian-Guo Liu Courant Institute

Analysis of PDEs mathscidoc:1702.03078

Communications on Pure and Applied Mathematics, 46, (10), 1327-1361, 1993.10
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[230] A note on Monge–Amp`ere Keller–Segel equation

Hui Huang Tsinghua University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03024

Applied Mathematics Letters, 11, 26–34, 2016.11
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[231] Spectral theory for the Weil–Petersson Laplacian on the Riemann moduli space

Lizhen Ji University of Michigan Rafe Mazzeo Stanford University Werner Müller Universität Bonn Andras Vasy Stanford University

Analysis of PDEs Differential Geometry mathscidoc:1705.03002

Distinguished Paper Award in 2017

Comment. Math. Helv, 89, 867–894, 2014
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[232] A note on $L^{\infty}$-bound and uniqueness to a degenerate Keller-Segel model

Jian-Guo Liu Duke University Jinhuan Wang Liaoning University

Analysis of PDEs mathscidoc:1702.03027

Acta Applicandae Mathematicae, 142, (1), 173–188, 2016.4
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[233] Hydrodynamic models of self-organized dynamics: derivation and existence theory

Pierre Degond Institut de Math´ematiques de Toulouse Jian-Guo Liu Duke University Sébastien Motsch University of Maryland Vladislav Panferov California State University, Northridge

Analysis of PDEs mathscidoc:1702.03041

Methods & Applications of Analysis, 20, (2), 089–114, 2013.6
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[234] On the Carleson duality

Tuomas Hytönen Department of Mathematics and Statistics, P.O. Box 68 (Gustaf Hällströms gata 2b), Helsingfors universitet, Finland Andreas Rosén Department of Mathematics, Linköpings universitet

Analysis of PDEs mathscidoc:1701.03025

Arkiv for Matematik, 51, (2), 293-313, 2011.4
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[235] Stability of Contact Waves for Navier-Stokes Equations and Boltzmann Equation

Feimin Huang Zhouping Xin Tong Yang

Analysis of PDEs mathscidoc:1912.431020

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[236] An exact solution for Stokes flow in a channel with arbitrarily large wall permeability

Gregory J. Herschlag Duke University Jian-Guo Liu Duke University Anita T. Layton Duke University

Analysis of PDEs mathscidoc:1702.03029

Siam Journal on Applied Mathematics, 75, (5), 2015.12
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[237] Convergence analysis of the vortex blob method for the b-equation

Yong Duan University of Electronic Science and Technology of China Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03039

Discrete & Continuous Dynamical Systems, 34, (5), 1995 - 2011, 2014.5
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[238] A reverse quasiconformal composition problem for Qα(Rn)

Jie Xiao Memorial University Yuan Zhou Beihang University

Analysis of PDEs mathscidoc:1912.43047

Arkiv for Matematik, 57, (2), 451-469, 2019.12
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[239] 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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[240] Dynamics in a kinetic model of oriented particles with phase transition

Amic Frouvelle †Institut de Math´ematiques de Toulouse Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03049

SIAM Journal on Mathematical Analysis, 44, (2), 791-826, 2012.2
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[241] Time regularity of the solutions to second order hyperbolic equations

Tamotu Kinoshita Institute of Mathematics, University of Tsukuba Giovanni Taglialatela Dipartimento di Scienze Economiche e Metodi Matematici, University of Bari

Analysis of PDEs mathscidoc:1701.03018

Arkiv for Matematik, 49, (1), 109-127, 2009.5
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[242] Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions

Xiuqing Chen Beijing University of Posts and Telecommunications Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03044

Journal of Differential Equations, 254, (7), 2764–2802, 2013.4
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[243] On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations

Thomas Y. Hou Caltech Zuoqiang Shi Tsinghua University Shu Wang Beijing University of Technology

Analysis of PDEs Numerical Analysis and Scientific Computing mathscidoc:1709.03001

Advances in Mathematics, 230, 607-641, 2012
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[244] Global infinite energy solutions for the 2D gravity water waves system

Xuecheng Wang Tsinghua University

Analysis of PDEs mathscidoc:1906.03002

Communications on pure and applied mathematics, 71, (1), 90-162, 2018
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[245] 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
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[246] Self-similar spreading in a merging-splitting model of animal group size

Jian-Guo Liu B. Niethammer Robert L. Pego

Analysis of PDEs mathscidoc:1905.43014

Journal of Statistical Physics, 2019
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[247] Global solution for the 3D gravity water waves system above a flat bottom

Xuecheng Wang Tsinghua University

Analysis of PDEs mathscidoc:1906.03003

Advances in Mathematics , 346, 805–886, 2019
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[248] 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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[249] Asymptotic analysis for time harmonic wave problems with small wave number

Houde Han Tsinghua University

Analysis of PDEs mathscidoc:1612.03001

2016.6
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[250] Structural stability and bifurcation for 2D incompressible flows with symmetry

Chun-Hsiung Hsia National Taiwan University Jian-Guo Liu Duke University Cheng Wang University of Massachusetts Dartmouth

Analysis of PDEs mathscidoc:1702.03056

Methods and Applications of Analysis, 15, (4), 495–512, 2008.4
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[251] Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation

Jian-Guo Liu Temple University Zhouping Xin Courant Institute of Mathematical Sciences

Analysis of PDEs mathscidoc:1702.03070

Archive for Rational Mechanics and Analysis, 135, (1), 61–105, 1996.10
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[252] 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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[253] Global stability for solutions to the exponential PDE describing epitaxial growth

Jian-Guo Liu ROBERT M. STRAIN

Analysis of PDEs mathscidoc:1905.03003

Interfaces and Free Boundaries, 21, 61–86, 2019
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[254] Blow-up, zero $\alpha$ limit and the Liouville type theorem for the Euler-Poincar\'{e} equations

Dongho Chae Chung-Ang University Jian-Guo Liu Duke University

Analysis of PDEs mathscidoc:1702.03046

Communications in Mathematical Physics, 314, (3), 671–687, 2012.3
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[255] 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
[ Download ] [ 2019-12-24 20:56:00 uploaded by Yi_Wang ] [ 631 downloads ] [ 0 comments ]