Analysis of PDEs

[401] 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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[402] A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations

Shi Jin , University of Wisconsin-Madison Jian-Guo Liu Duke University Li Wang University of Wisconsin-Madison

Analysis of PDEs mathscidoc:1702.03045

MATHEMATICS OF COMPUTATION, 82, (282), 749–779, 2013.4
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[403] 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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[404] 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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[405] 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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[406] 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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[407] 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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[408] 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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[409] 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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[410] 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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[411] 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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[412] 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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[413] 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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[414] 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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[415] Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate

Coquel, Frédéric 1, École Polytechnique, Route de Saclay Shi Jin University of Wisconsin-Madison Jian-Guo Liu Duke University Li Wang University of Michigan

Analysis of PDEs mathscidoc:1702.03032

Archive for Rational Mechanics and Analysis, 214, (3), 1051–1084, 2014.12
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[416] 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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[417] Elastic collisions among peakon solutions for the Camassa-Holm equation

Alina Chertock North Carolina State University Jian-Guo Liu Duke University Terrance Pendleton Iowa State University

Analysis of PDEs mathscidoc:1702.03030

Applied Numerical Mathematics, 93, 30–46, 2015.7
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[418] 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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[419] 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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[420] 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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[421] Fluid extraction across pumping and permeable walls in the viscous limit

G. Herschlag Duke University Jian-Guo Liu Duke University A. T. Layton Duke University

Analysis of PDEs mathscidoc:1702.03026

: Physics of Fluids, 28, (4), 2016.4
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[422] Error estimate of the particle method for the b-equation

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

Analysis of PDEs mathscidoc:1702.03025

Methods & Applications of Analysis, 23, (2), 119–154, 2016.6
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[423] 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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[424] 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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[425] 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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