Analysis of PDEs

[1] 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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[2] 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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[3] 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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[4] 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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[5] Geometric estimates for complex Monge-Ampere equations

Xin Fu Rutgers University Bin Guo Columbia University Jian Song Rutgers University

Analysis of PDEs mathscidoc:2005.03002

Journal für die reine und angewandte Mathematik
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[6] On $l_p$-estimates for elliptic and parabolic equations with $a_p$ weights

Hongjie Dong Brown University Doyoon Kim Korea University

Analysis of PDEs mathscidoc:2005.03001

Trans. Amer. Math. Soc., 370, (7), 5081–5130, 2018.7
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[7] 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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[8] 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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[9] 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

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[10] Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431029

Communications in Partial Differential Equations, 36, (10), 1750-1777, 2011.10
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[11] Regularity criteria for the dissipative quasi-geostrophic equations in Hlder spaces

Hongjie Dong Nataa Pavlovi

Analysis of PDEs mathscidoc:1912.431027

Communications in Mathematical Physics, 290, (3), 801-812, 2009.9
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[12] Gradient estimates for parabolic and elliptic systems from linear laminates

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431026

Archive for Rational Mechanics and Analysis, 205, (1), 119-149, 2012.7
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[13] Well-posedness for a transport equation with nonlocal velocity

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431025

Journal of Functional Analysis, 255, (11), 3070-3097, 2008.12
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[14] Parabolic and elliptic systems in divergence form with variably partially BMO coefficients

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431024

SIAM Journal on Mathematical Analysis, 43, (3), 1075-1098, 2011.5
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[15] Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

Hongjie Dong Doyoon Kim

Analysis of PDEs mathscidoc:1912.431023

Journal of Functional Analysis, 261, (11), 3279-3327, 2011.12
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[16] Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness

Hongjie Dong

Analysis of PDEs mathscidoc:1912.431022

Arxiv preprint math/0701826, Discrete Contin. Dyn. Syst. A, 26, 1197-1211, 2007.1
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[17] Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

Hongjie Dong Dapeng Du

Analysis of PDEs mathscidoc:1912.431021

Discrete Contin. Dyn. Syst. A, 21, 1095-1101, 2007.1
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[18] 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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[19] Time periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains---Leray's problem for periodic flows

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431019

Communications in Mathematical Physics, 277, 189-236, 2005.1
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[20] A new nonlinear functional for general scalar conservation laws

Zaihong Jiang Tong Yang

Analysis of PDEs mathscidoc:1912.431018

Journal of Differential Equations, 246, (11), 4284-4308, 2009.6
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[21] A characterization of probability measure with finite moment and an application to the Boltzmann equation

Yong-Kum Cho Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431017

arXiv preprint arXiv:1512.00629, 2015.12
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[22] Well-posedness of thermal layer equations for inviscid compressible flows

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431016

arXiv preprint arXiv:1608.02857, 2016.8
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[23] A class of self-similar solutions to a singular and degenerate diffusion equation

Chunpeng Wang Tong Yang Jingxue Yin

Analysis of PDEs mathscidoc:1912.431015

Nonlinear Analysis: Theory, Methods & Applications, 60, (4), 775-796, 2005.2
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[24] A nonlinear functional for general scalar hyperbolic conservation laws

Hongxia Liu Tong Yang

Analysis of PDEs mathscidoc:1912.431013

Journal of Differential Equations, 235, (2), 658-667, 2007.4
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[25] 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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[26] Waiting time for a non-Newtonian polytropic filtration equation with convection

Chunhua Jin Tong Yang Jingxue Yin

Analysis of PDEs mathscidoc:1912.431011

447-452, 2012
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[27] Global existence for the ellipsoidal BGK model with initial large oscillations

Renjun Duan Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431010

arXiv preprint arXiv:1607.01113, 2016.7
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[28] Well-posedness in Gevrey function space for the three-dimensional Prandtl equations

Wei-Xi Li Tong Yang

Analysis of PDEs mathscidoc:1912.431009

arXiv preprint arXiv:1708.08217, 2017.8
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[29] The Boltzmann equation without angular cutoff. Global existence and full regularity of the Boltzmann equation without angular cutoff. Part I: Maxwellian case and small singularity.

Radjesvarane Alexandre Y Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431007

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[30] Convergence to the Self-similar Solutions to the Homogeneous Boltzmann Equation

Yoshinori Morimoto Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431006

arXiv preprint arXiv:1703.10747, 2017.3
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[31] The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate

Radjesvarane Alexandre Y Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.431005

Preprint HAL, http://hal. archives-ouvertes. fr/hal-00477662/fr
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[32] Time periodic solution to the compressible Navier-Stokes equations in a periodic domain

JIN Chunhua Tong Yang

Analysis of PDEs mathscidoc:1912.431003

Acta Mathematica Scientia, 36, (4), 1015-1029, 2016.7
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[33] Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431002

Journal of Statistical Physics, 165, (5), 866-906, 2016.12
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[34] Stability of Nonlinear Wave Patterns to the Bipolar VlasovPoissonBoltzmann System

Hailiang Li Yi Wang Tong Yang Mingying Zhong

Analysis of PDEs mathscidoc:1912.431001

Archive for Rational Mechanics and Analysis, 228, (1), 39-127, 2018.4
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[35] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

Tong Yang Changjiang Zhu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.431000

Journal of mathematical analysis and applications, 220, (1), 164-186, 1998.4
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[36] 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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[37] Global structure and asymptotic behavior of weak solutions to flood wave equations

Tao Luo Tong Yang

Analysis of PDEs mathscidoc:1912.43998

Journal of Differential Equations, 207, (1), 117-160, 2004.12
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[38] The Boltzmann equation with soft potentials near a local Maxwellian

Zhouping Xin Tong Yang Hongjun Yu

Analysis of PDEs mathscidoc:1912.43997

Archive for Rational Mechanics and Analysis, 206, (1), 239, 2012.10
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[39] The rate of asymptotic convergence of strong detonations for a model problem

Lung-an Ying Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43996

Japan journal of industrial and applied mathematics, 16, (3), 467, 1999.10
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[40] A note on the new Glimm functional for general systems of hyperbolic conservation laws

Jiale Hua Tong Yang

Analysis of PDEs mathscidoc:1912.43995

Mathematical Models and Methods in Applied Sciences, 20, (5), 815-842, 2010.5
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[41] Uncertainty principle and regularity for Boltzmann type equations

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43994

Comptes Rendus Mathematique, 345, (12), 673-677, 2007.12
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[42] Existence of the discrete travelling waves for a relaxing scheme

Hailiang Liu Jinghua Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43993

Applied Mathematics Letters, 10, (3), 117-122, 1997.5
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[43] An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

Jiale Hua Tong Yang

Analysis of PDEs mathscidoc:1912.43992

Journal of Differential Equations, 231, (1), 92-107, 2006.12
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[44] MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory

CJ Liu Feng Xie Tong Yang

Analysis of PDEs mathscidoc:1912.43991

arXiv preprint ArXiv:1704.00523, 2017.4
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[45] The VlasovMaxwellBoltzmann system near Maxwellians in the whole space with very soft potentials

Renjun Duan Yuanjie Lei Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43990

Communications in Mathematical Physics, 351, (1), 95-153, 2017.4
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[46] Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43989

Analysis and Applications, 15, (3), 391-411, 2017.5
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[47] Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations

Hai-Liang Li Tong Yang Mingying Zhong

Analysis of PDEs mathscidoc:1912.43988

arXiv preprint arXiv:1411.5470, 2016.11
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[48] Optimal convergence rates for the compressible Navier-Stokes equations with potential force

Renjun Duan Hongxia Liu Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43987

Journal of Differential Equations, 238, (1), 220-233, 2007
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[49] NavierStokes equations with degenerate viscosity, vacuum and gravitational force

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43986

Mathematical methods in the applied sciences, 30, (3), 347-374, 2007.2
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[50] Regularity of solutions for the Boltzmann equation without angular cutoff

Radjesvarane Alexandre Yoshinore Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43985

Comptes Rendus Mathematique, 347, 747-752, 2009.7
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[51] Uniform L_1 boundedness of solutions of hyperbolic conservation laws

Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43984

Methods and Applications of Analysis, 4, (3), 339-355, 1997.9
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[52] Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay

Cheng-Jie Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43983

Journal de Mathmatiques Pures et Appliques, 108, (2), 150-162, 2017.8
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[53] Bounded solutions of the Boltzmann equation in the whole space

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43982

arXiv preprint arXiv:1010.5590, 2010.10
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[54] A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto Shuaikun Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43981

Journal de Mathmatiques Pures et Appliques, 103, (3), 809-829, 2015.3
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[55] Existence of stationary solutions to the VlasovPoissonBoltzmann system

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43980

Journal of mathematical analysis and applications, 327, (1), 425-434, 2007.3
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[56] Global well-posedness of the Boltzmann equation with large amplitude initial data

Renjun Duan Feimin Huang Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43979

Archive for Rational Mechanics and Analysis, 225, (1), 375-424, 2017.7
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[57] A combination of energy method and spectral analysis for study of equations of gas motion

Renjun Duan Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43978

Frontiers of Mathematics in China, 4, (2), 253-282, 2009.6
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[58] MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: WellPosedness Theory

ChengJie Liu Feng Xie Tong Yang

Analysis of PDEs mathscidoc:1912.43977

Communications on Pure and Applied Mathematics, 72, (1), 63-121, 2019.1
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[59] Optimal convergence rates of Landau equation with external forcing in the whole space

Tong Yang Yu Hongjun

Analysis of PDEs mathscidoc:1912.43975

Acta Mathematica Scientia, 29, (4), 1035-1062, 2009.7
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[60] A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

Jiale Hua Zaihong Jiang Tong Yang

Analysis of PDEs mathscidoc:1912.43974

Archive for rational mechanics and analysis, 196, (2), 433-454, 2010.5
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[61] Well-posedness in Gevrey space for the Prandtl equations with non-degenerate critical points

Wei-Xi Li Tong Yang

Analysis of PDEs mathscidoc:1912.43973

arXiv preprint arXiv:1609.08430, 2016.9
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[62] Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms

Tong Yang Changjiang Zhu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43972

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 127, (6), 1311-1324, 1997
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[63] Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum

Yoshinori Morimoto Tong Yang

Analysis of PDEs mathscidoc:1912.43971

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 32, (2), 429-442, 2015.3
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[64] Existence and stability of planar diffusion waves for 2-D Euler equations with damping

Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43970

Journal of Differential Equations, 242, (1), 40-71, 2007.11
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[65] Lp convergence rates of planar waves for multi-dimensional Euler equations with damping

Jie Liao Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43969

Journal of Differential Equations, 247, (1), 303-329, 2009.7
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[66] Convergence rate to stationary solutions for Boltzmann equation with external force

Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43968

Chinese Annals of Mathematics, Series B, 27, (4), 363-378, 2006.8
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[67] A half-space problem for the Boltzmann equation with specular reflection boundary condition

Tong Yang Hui-Jiang Zhao

Analysis of PDEs mathscidoc:1912.43966

Communications in mathematical physics, 255, (3), 683-726, 2005.4
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[68] Global existence to Boltzmann equation with external force in infinite vacuum

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43965

Journal of mathematical physics, 46, (5), 053307, 2005.5
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[69] A well-posedness theory for the Prandtl equations in three space variables

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43964

Advances in Mathematics, 308, 1074-1126, 2017.2
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[70] A sharp decay estimate for positive nonlinear waves

Alberto Bressan Tong Yang

Analysis of PDEs mathscidoc:1912.43963

SIAM journal on mathematical analysis, 36, (2), 659-677, 2004
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[71] A functional integral approach to shock wave solutions of Euler equations with spherical symmetry

Tong Yang

Analysis of PDEs mathscidoc:1912.43962

Communications in mathematical physics, 171, (3), 607-638, 1995.8
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[72] Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping

Weike Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43961

Journal of Differential Equations, 187, (2), 310-336, 2003.1
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[73] 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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[74] On the ill-posedness of the Prandtl equations in three-dimensional space

Cheng-Jie Liu Ya-Guang Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43959

Archive for Rational Mechanics and Analysis, 220, (1), 83-108, 2016.4
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[75] L1 and BV-type stability of the Boltzmann equation with external forces

Renjun Duan Tong Yang Changjiang Zhu

Analysis of PDEs mathscidoc:1912.43957

Journal of Differential Equations, 227, (1), 1-28, 2006.8
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[76] Stability of a relaxation model with a nonconvex flux

Hailiang Liu Jinghua Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43956

SIAM journal on mathematical analysis, 29, (1), 18-29, 1998.1
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[77] Nonlinear stability of boundary layers of the Boltzmann equation, I. The case M< 1

Seiji Ukai Tong Yang Shih-Hsien Yu

Analysis of PDEs mathscidoc:1912.43955

Communications in mathematical physics, 244, (1), 99-109, 2004.1
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[78] Local existence with physical vacuum boundary condition to Euler equations with damping

Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43954

Journal of Differential Equations, 210, (1), 217-231, 2005.3
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[79] Stability of the one-species VlasovPoissonBoltzmann system

Renjun Duan Tong Yang

Analysis of PDEs mathscidoc:1912.43953

SIAM Journal on Mathematical Analysis, 41, (6), 2353-2387, 2010.1
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[80] The VlasovPoissonBoltzmann system in the whole space: The hard potential case

Renjun Duan Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43952

Journal of Differential Equations, 252, (12), 6356-6386, 2012.6
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[81] 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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[82] Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system

Hai-Liang Li Tong Yang Chen Zou

Analysis of PDEs mathscidoc:1912.43950

Acta Mathematica Scientia, 29, (6), 1721-1736, 2009.11
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[83] Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space

Tong Yang Hongjun Yu

Analysis of PDEs mathscidoc:1912.43949

Journal of Differential Equations, 248, (6), 1518-1560, 2010.3
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[84] One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

Hongxia Liu Tong Yang Huijiang Zhao Qingyang Zou

Analysis of PDEs mathscidoc:1912.43947

SIAM Journal on Mathematical Analysis, 46, (3), 2185-2228, 2014.6
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[85] Weak solutions of general systems of hyperbolic conservation laws

Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43946

Communications in mathematical physics, 230, (2), 289-327, 2002.10
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[86] On the convergence rate of vanishing viscosity approximations

Alberto Bressan Tong Yang

Analysis of PDEs mathscidoc:1912.43944

Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences, 57, (8), 1075-1109, 2004.8
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[87] The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43943

Analysis and Applications, 9, (2), 113-134, 2011.4
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[88] Global solutions to the Boltzmann equation with external forces

Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43942

Analysis and Applications, 3, (2), 157-193, 2005.4
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[89] Nonlinear stability of rarefaction waves for the Boltzmann equation

Tai-Ping Liu Tong Yang Shih-Hsien Yu Hui-Jiang Zhao

Analysis of PDEs mathscidoc:1912.43941

Archive for rational mechanics and analysis, 181, (2), 333-371, 2006.7
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[90] Cauchy problem for the VlasovPoissonBoltzmann system

Tong Yang Hongjun Yu Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43940

Archive for rational mechanics and analysis, 182, (3), 415-470, 2006.11
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[91] Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system

Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43938

Communications in mathematical physics, 268, (3), 569-605, 2006.12
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[92] Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43937

Communications in Mathematical Physics, 277, (1), 189-236, 2008.1
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[93] Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

Zhaohui Huo Yoshinori Morimoto Seiji Ukai Tong Yang

Analysis of PDEs mathscidoc:1912.43936

Kinetic & Related Models, 1, (3), 453, 2008.8
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[94] The Boltzmann equation without angular cutoff in the whole space: Qualitative properties of solutions

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43935

Archive for Rational Mechanics and Analysis, 202, (2), 599-661, 2011.11
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[95] Global existence and full regularity of the Boltzmann equation without angular cutoff

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43934

Communications in Mathematical Physics, 304, (2), 513, 2011.6
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[96] The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai C-J Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43933

Journal of Functional Analysis, 262, (3), 915-1010, 2012.2
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[97] Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

Kenji Nishihara Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43932

SIAM journal on mathematical analysis, 35, (6), 1561-1597, 2004
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[98] Regularizing effect and local existence for the non-cutoff Boltzmann equation

Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang

Analysis of PDEs mathscidoc:1912.43931

Archive for rational mechanics and analysis, 198, (1), 39-123, 2010.10
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[99] 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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[100] 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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[101] Optimal convergence rates for the compressible NavierStokes equations with potential forces

Renjun Duan Seiji Ukai Tong Yang Huijiang Zhao

Analysis of PDEs mathscidoc:1912.43928

Mathematical Models and Methods in Applied Sciences, 17, (5), 737-758, 2007.5
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[102] 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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[103] 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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[104] L1 stability estimates for n n conservation laws

Alberto Bressan Tai-Ping Liu Tong Yang

Analysis of PDEs mathscidoc:1912.43925

Archive for rational mechanics and analysis, 149, (1), 1-22, 1999.10
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[105] Self-similarity in deterministic and stochastic dissipative systems

Jack Xin

Analysis of PDEs mathscidoc:1912.43922

BULLETIN-INSTITUTE OF MATHEMATICS ACADEMIA SINICA, 31, (2), 75-94, 2003.6
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[106] Link Flow Correction For Inconsistent Traffic Flow Data Via l1-Minimization

Penghang Yin Zhe Sun Wenlong Jin Jack Xin

Analysis of PDEs mathscidoc:1912.43919

arXiv preprint arXiv:1704.02052, 2017.4
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[107] Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43916

Mathematical Modelling of Natural Phenomena, 8, (3), 198-205, 2013
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[108] Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions

Jack Xin J Moloney

Analysis of PDEs mathscidoc:1912.43914

Nonlinearity, 11, (3), 501, 1998.5
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[109] Scaling limits of waves in convex scalar conservation laws under random initial perturbations

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43913

Journal of statistical physics, 122, (2), 361-370, 2006.1
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[110] Variational principle based computation of KPP average front speeds in random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43909

Methods and Applications of Analysis, 11, (3), 389-398, 2004
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[111] 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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[112] A numerical study of fronts in random media using a reactive solute transport model

Marie Postel Jack Xin

Analysis of PDEs mathscidoc:1912.43904

Computational Geosciences, 1, 251-270, 1997.9
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[113] Computing reactive front speeds in random flows by variational principle

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43894

Physica D: Nonlinear Phenomena, 237, (23), 3172-3177, 2008.12
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[114] A numerical study of the light bullets interaction in the (2+ 1) sine-Gordon equation

Timothy Povich Jack Xin

Analysis of PDEs mathscidoc:1912.43891

Journal of Nonlinear Science, 15, (1), 11-25, 2005.2
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[115] Periodic orbits of the ABC flow with A= B= C= 1

Jack Xin Yifeng Yu Andrej Zlatos

Analysis of PDEs mathscidoc:1912.43888

SIAM Journal on Mathematical Analysis, 48, (6), 4087-4093, 2016.12
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[116] Computing residual diffusivity by adaptive basis learning via spectral method

Jiancheng Lyu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43887

Numerical Mathematics: Theory, Methods and Applications, 10, (2), 351-372, 2017.5
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[117] Existence of traveling waves in a biodegradation model for organic contaminants

Regan Murray Jack Xin

Analysis of PDEs mathscidoc:1912.43884

SIAM journal on mathematical analysis, 30, (1), 72-94, 1998
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[118] Modelling thermal front dynamics in microwave heating

Gema A Mercado Benjamin P Luce Jack Xin

Analysis of PDEs mathscidoc:1912.43883

IMA journal of applied mathematics, 67, (5), 419-439, 2002.10
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[119] Min-max variational principle and front speeds in random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43881

Methods and Applications of Analysis, 11, (4), 635-644, 2004
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[120] Stability, relaxation, and oscillation of biodegradation fronts

Jack Xin James M Hyman

Analysis of PDEs mathscidoc:1912.43877

SIAM Journal on Applied Mathematics, 61, (2), 472-505, 2000
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[121] Large time asymptotics of solutions to a model combustion system with critical nonlinearity

L Berlyand Jack Xin

Analysis of PDEs mathscidoc:1912.43876

Nonlinearity, 8, (2), 161, 1995.3
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[122] 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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[123] Periodic homogenization of G-equations and viscosity effects

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43873

Nonlinearity, 23, (10), 2351, 2010.8
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[124] Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid HamiltonJacobi models

Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43871

Annales de l'IHP Analyse non linaire, 30, (6), 1049-1068, 2013
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[125] Asymptotics for turbulent flame speeds of the viscous G-equation enhanced by cellular and shear flows

Yu-Yu Liu Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43869

Archive for rational mechanics and analysis, 202, (2), 461-492, 2011.11
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[126] Front speed in the Burgers equation with a random flux

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43868

Journal of statistical physics, 88, 843-871, 1997.8
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[127] Bounds on front speeds for inviscid and viscous G-equations

James Nolen Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43865

Methods and Applications of Analysis, 16, (4), 507-520, 2009.12
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[128] White noise perturbation of the viscous shock fronts of the Burgers equation

Jan Wehr Jack Xin

Analysis of PDEs mathscidoc:1912.43863

Communications in mathematical physics, 181, (1), 183-203, 1996.11
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[129] Stochastic analysis of biodegradation fronts in one-dimensional heterogeneous porous media

Jack Xin Dongxiao Zhang

Analysis of PDEs mathscidoc:1912.43862

Advances in Water Resources, 22, (2), 103-116, 1998.10
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[130] Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrdinger equations

Michael I Weinstein Jack Xin

Analysis of PDEs mathscidoc:1912.43859

Communications in mathematical physics, 180, (2), 389-428, 1996.10
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[131] Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media

Jack Xin

Analysis of PDEs mathscidoc:1912.43858

Archive for rational mechanics and analysis, 128, (1), 75-103, 1994.3
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[132] A variational principle for KPP front speeds in temporally random shear flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43857

Communications in Mathematical Physics, 269, (2), 493-532, 2007.1
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[133] Global solutions to a reactive Boussinesq system with front data on an infinite domain

Simon Malham Jack Xin

Analysis of PDEs mathscidoc:1912.43856

Communications in mathematical physics, 193, (2), 287-316, 1998.4
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[134] On the dynamical law of the GinzburgLandau vortices on the plane

FH Lin Jack Xin

Analysis of PDEs mathscidoc:1912.43854

Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences, 52, (10), 1189-1212, 1999.10
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[135] Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media

Jack Xin Jingyi Zhu

Analysis of PDEs mathscidoc:1912.43853

Physica D: Nonlinear Phenomena, 81, 94-110, 1995.2
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[136] Diffusion-generated motion by mean curvature for filaments

Steven J Ruuth Barry Merriman Jack Xin Stanley Osher

Analysis of PDEs mathscidoc:1912.43852

Journal of Nonlinear Science, 11, (6), 473-493, 2001.12
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[137] Periodic homogenization of the inviscid G-equation for incompressible flows

Jack Xin Yifeng Yu

Analysis of PDEs mathscidoc:1912.43848

Communications in Mathematical Sciences, 8, (4), 1067-1078, 2010
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[138] Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43847

Annales de l'IHP Analyse non linaire, 26, (3), 815-839, 2009
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[139] 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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[140] 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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[141] Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle

James Nolen Jack Xin

Analysis of PDEs mathscidoc:1912.43843

arXiv preprint math/0407366, 2004.7
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[142] 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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[143] 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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[144] Front propagation in heterogeneous media

Jack Xin

Analysis of PDEs mathscidoc:1912.43838

SIAM review, 42, (2), 161-230, 2000
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[145] Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries

Yi Wang Zilai Li Wei Li

Analysis of PDEs mathscidoc:1912.43767

Boundary Value Problems, 2015, (1), 94, 2015.12
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[146] 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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[147] 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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[148] Justification of diffusion limit for the Boltzmann equation with a non-trivial profile

Feimin Huang Yi Wang Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43764

arXiv preprint arXiv:1505.02258, 2015.5
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[149] 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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[150] 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
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[151] The Inviscid Limit to a Contact Discontinuity for the Compressible Navier--Stokes--Fourier System Using the Relative Entropy Method

Alexis Vasseur Yi Wang

Analysis of PDEs mathscidoc:1912.43761

SIAM Journal on Mathematical Analysis, 47, (6), 4350-4359, 2015.11
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[152] Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible NavierStokes equations

Feimin Huang Mingjie Li Yi Wang

Analysis of PDEs mathscidoc:1912.43760

SIAM Journal on Mathematical Analysis, 44, (3), 1742-1759, 2012.5
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[153] Zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock

Yi Wang

Analysis of PDEs mathscidoc:1912.43759

Acta Mathematica Scientia, 28, (4), 727-748, 2008.10
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[154] Global existence of weak solution to the heat and moisture transport system in fibrous porous media

Buyang Li Weiwei Sun Yi Wang

Analysis of PDEs mathscidoc:1912.43758

Journal of Differential Equations, 249, (10), 2618-2642, 2010.11
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[155] Large-time behavior of solutions to the inflow problem of full compressible NavierStokes equations

Xiaohong Qin Yi Wang

Analysis of PDEs mathscidoc:1912.43757

SIAM Journal on Mathematical Analysis, 43, (1), 341-366, 2011.1
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[156] A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation

Seung-Yeal Ha Feimin Huang Yi Wang

Analysis of PDEs mathscidoc:1912.43756

Journal of Differential Equations, 257, (5), 1333-1371, 2014.9
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[157] Vanishing viscosity limit of the compressible NavierStokes equations for solutions to a Riemann problem

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43755

Archive for Rational Mechanics and Analysis, 203, (2), 379-413, 2012.2
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[158] Hydrodynamic limit of the Boltzmann equation with contact discontinuities

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43754

Communications in Mathematical Physics, 295, (2), 293-326, 2010.4
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[159] 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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[160] Fluid dynamic limit to the Riemann solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity

Feimin Huang Yi Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43752

arXiv preprint arXiv:1011.1990, 2010.11
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[161] Stability of rarefaction waves to the 1D compressible NavierStokes equations with density-dependent viscosity

Quansen Jiu Yi Wang Zhouping Xin

Analysis of PDEs mathscidoc:1912.43751

Communications in Partial Differential Equations, 36, (4), 602-634, 2011.1
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[162] Global well-posedness of 2D compressible NavierStokes equations with large data and vacuum

Quansen Jiu Yi Wang Zhouping Xin

Analysis of PDEs mathscidoc:1912.43750

Journal of Mathematical Fluid Mechanics, 16, (3), 483-521, 2014.9
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[163] Existence of multiple positive solutions for nonhomogeneous elliptic problems in RN

Tiexiang Li Tsung-fang Wu

Analysis of PDEs mathscidoc:1912.43748

Nonlinear Analysis: Theory, Methods & Applications, 75, (14), 5639-5652, 2012.9
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[164] Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

Tiexiang Li Tsung-fang Wu

Analysis of PDEs mathscidoc:1912.43734

Journal of Mathematical Analysis and Applications, 369, (1), 245-257, 2010.9
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[165] Nonlinear Differential Equations in Geometry and Physics.

Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43728

1986.9
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[166] Real time solution of Duncan-Mortensen-Zakai equation without memory

Stephen S-T Yau Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43719

5086-5091, 2008.12
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[167] Existence and uniqueness of solutions for Duncan-Mortensen-Zakai equations

Shing-Tung Yau SS-T Yau

Analysis of PDEs mathscidoc:1912.43666

536-541, 2005.12
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[168] Segmentation and tracking of 3D neuron microscopy images using a PDE based method and connected component labeling algorithm

Yalin Wang Ilhwan Jo Stephen Wong Shing-Tung Yau Tony F Chan

Analysis of PDEs mathscidoc:1912.43665

1-2, 2006.7
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[169] Finite-dimensional filters with nonlinear drift. V: solution to Kolmogorov equation arising from linear filtering with non-Gaussian initial condition

Zhigang Liang SS-T Yau Shing-Tung Yau

Analysis of PDEs mathscidoc:1912.43632

IEEE transactions on aerospace and electronic systems, 33, (4), 1295-1308, 1997.10
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[170] Existence and decay estimates for time dependent parabolic equation with application to DuncanMortensenZakai equation

Shing-Tung Yau Stephen S-T Yau

Analysis of PDEs mathscidoc:1912.43620

Asian Journal of Mathematics, 2, (4), 1079-1150, 1998.12
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[171] 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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[172] Compressible Viscous Flows in a Symmetric Domain with Complete Slip Boundary

Kefeng Liu

Analysis of PDEs mathscidoc:1912.43127

arXiv preprint arXiv:1612.07934, 2016.12
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[173] Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D

Kefeng Liu Yuan Yuan

Analysis of PDEs mathscidoc:1912.43125

arXiv preprint arXiv:1802.00127, 2018.2
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[174] On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models

Kefeng Liu

Analysis of PDEs mathscidoc:1912.43116

arXiv preprint arXiv:1710.06527, 2017.10
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[175] Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations

Kefeng Liu Edriss S Titi

Analysis of PDEs mathscidoc:1912.43114

arXiv preprint arXiv:1806.09868, 2018.6
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[176] 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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[177] 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
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[178] 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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[179] 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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[180] 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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[181] 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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[182] Almost Global Solutions to the Three-dimensional Isentropic Inviscid Flows with Damping in Physical Vacuum Around Barenlatt Solutions

Huihui Zeng Tsinghua University

Analysis of PDEs mathscidoc:1911.43004

[ Download ] [ 2019-11-13 10:20:32 uploaded by hhzeng ] [ 73 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[183] Asymptotic behavior for retarded parabolic equations with superlinear perturbations

Tran Dinh Ke Ngai-Ching Wong

Analysis of PDEs mathscidoc:1910.43749

Journal of optimization theory and applications, 146, (1), 117-135, 2010.7
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[184] Long-time behaviour for a model of porous-medium equations with variable coefficients

Tran Dinh Ke Ngai-Ching Wong

Analysis of PDEs mathscidoc:1910.43703

Optimization, 60, (6), 709-724, 2011.6
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[185] Gap control by singular Schr\" odinger operators in a periodically structured metamaterial

Pavel Exner Andrii Khrabustovskyi

Analysis of PDEs mathscidoc:1910.43264

arXiv preprint arXiv:1802.07522, 2018.2
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[186] Asymptotics of the bound state induced by <i></i>-interaction supported on a weakly deformed plane

Pavel Exner Sylwia Kondej Vladimir Lotoreichik

Analysis of PDEs mathscidoc:1910.43214

Journal of Mathematical Physics, 59, (1), 013501, 2018.1
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[187] On resonances and bound states of Smilansky Hamiltonian

Pavel Exner Vladimir Lotoreichik Milo Tater

Analysis of PDEs mathscidoc:1910.43195

: , , , 7, (5), 2016
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[188] 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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[189] 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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[190] Monge-Ampere equation with bounded periodic data

YanYan Li Rutgers University Siyuan Lu McMaster University

Analysis of PDEs mathscidoc:1908.03001

[ Download ] [ 2019-08-20 10:21:43 uploaded by Siyuan ] [ 78 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[191] 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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[192] 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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[193] 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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[194] 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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[195] 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
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[196] 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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[197] 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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[198] 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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[199] 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

[ Download ] [ 2019-05-20 11:44:29 uploaded by jklimath ] [ 171 downloads ] [ 55 comments ] [ Abstract ] [ Full ]
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[200] 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

Communications on Pure and Applied Mathematics, 69, (8), 2016
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[201] 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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[202] 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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[203] P-Euler equations and p-Navier-Stokes equations,

Lei Li Jian-Guo Liu

Analysis of PDEs mathscidoc:1905.03005

Journal of Differential Equations, 264, 4707-4748, 2018
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[204] Partial regularity for weak solutions to a PDE system with cubic nonlinearities

Jian-Guo Liu Xiangsheng Xu

Analysis of PDEs mathscidoc:1905.03004

Journal of Differential Equations, 264, 5489-5526, 2018
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[205] Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface

Yuan Gao Jian-Guo Liu Xin Yang Lu Xiangsheng Xu

Analysis of PDEs mathscidoc:1905.43009

Calc. Var, 57:55, 2018
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[206] 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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[207] Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm

Qiwei Zhan Mingwei Zhuang Zhennan Zhou Jian-Guo Liu Qing Huo Liu

Analysis of PDEs mathscidoc:1905.03002

IEEE Trans. Geosci. Remote Sens., 2019
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[208] Cauchy problems for Keller–Segel type time–space fractional diffusion equation

Lei Li Jian-Guo Liu Lizhen Wang

Analysis of PDEs mathscidoc:1905.03001

Journal of Differential Equations, 265, 1044-1096, 2018
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[209] 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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[210] 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
[ Download ] [ 2019-05-10 00:17:30 uploaded by jianguo ] [ 181 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[211] A vicinal surface model for epitaxial growth with logarithmic free energy

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

Analysis of PDEs mathscidoc:1905.43002

Discrete Contin. Dyn. Syst. Ser. B, 23, 4433-4453, 2017
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[212] 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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[213] Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

Siyuan Lu McGill University

Analysis of PDEs Differential Geometry mathscidoc:1904.03007

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[214] On Weyl's embedding problem in Riemannian manifolds

Siyuan Lu Rutgers University

Analysis of PDEs Differential Geometry mathscidoc:1904.03006

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[215] 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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[216] 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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[217] Linear elliptic equations in composite media with anisotropic fibres

Li-Ming Yeh National Chiao Tung University

Analysis of PDEs mathscidoc:1904.03003

Journal of Differential Equations, 266, (10), 6580--6620, 2019.5
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[218] 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
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[219] 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:1904.03001

Annali di Matematica, 196, (1), 1695–1737, 2017.2
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[220] 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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[221] 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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[222] 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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[223] 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

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[224] 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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[225] 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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[226] 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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[227] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

Pengfei Guan McGill University Siyuan Lu McGill University

Analysis of PDEs Differential Geometry mathscidoc:1811.03001

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[228] 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

Calc. Var. Partial Differential Equations, 57, (2), 2018.2
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[229] 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

Geometric and Functional Analysis, 28, 1183–1208, 2018.10
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[230] 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

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[231] 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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[232] 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

Acta Mathematica, 220, (2), 297 – 339, 2018
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[233] 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

Publications mathématiques de l'IHÉS, 126, (1), 73-130, 2017.11
[ Download ] [ 2018-06-27 17:39:48 uploaded by hhein ] [ 527 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[234] 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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[235] 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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[236] 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

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[237] 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 ] [ 284 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[238] 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 ] [ 289 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[239] 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

Invent math, 196, (1), 233-265, 2014.4
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[240] 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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[241] 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
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[242] 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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[243] Regularity for a fractional p-Laplace equation

Daniel Spector National Chiao Tung University Tien-Tsan Shieh National Center for Theoretical Science

Analysis of PDEs mathscidoc:1804.03004

Commun. Contemp. Math., 20, (1), 2017.10
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[244] 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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[245] 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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[246] 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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[247] 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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[248] 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
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[249] 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
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[250] 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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[251] 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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[252] 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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[253] 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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[254] 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

Arch. Ration. Mech. Anal., 227, (3), 995-1059, 2018.3
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[255] Spectral analysis of the subelliptic oblique derivative problem

Kazuaki Taira University of Tsukuba

Analysis of PDEs mathscidoc:1803.43019

Arkiv for Matematik, 55, 2017
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[256] 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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[257] 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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[258] 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
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[259] 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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[260] 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

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[261] 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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[262] 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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[263] 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
[ Download ] [ 2017-05-31 10:04:19 uploaded by yauawardadmin ] [ 394 downloads ] [ 0 comments ]