Analysis of PDEs

[51] 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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[52] 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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[53] Pointwise estimate for elliptic equations in periodic perforated domains

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1609.03017

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[54] 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
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[55] 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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[56] 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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[57] 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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[58] 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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[59] 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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[60] 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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[61] 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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[62] 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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[63] 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 ] [ 855 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[64] 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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[65] 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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[66] 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

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[67] 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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[68] 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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[69] 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 ] [ 838 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[70] 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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[71] 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
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[72] 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 ] [ 833 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[73] 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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[74] 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 ] [ 829 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[75] 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 ] [ 826 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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