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PDF
Chat
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Solving Boltzmann equation, green’s function approach
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2024
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Tai-Ping Liu
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+
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Shock profiles of Navier–Stokes equations for compressible medium
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2023
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Chueh-Hsin Chang
Tai-Ping Liu
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+
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Partial dissipation and sub-shock
|
2023
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Tai-Ping Liu
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+
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Green’s function of heat equation for heterogeneous media in 3-D
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2022
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Ching-hsiao Arthur Cheng
Tai-Ping Liu
Shih‐Hsien Yu
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+
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Shock waves in Euler equations for compressible medium
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2021
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Tai-Ping Liu
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PDF
Chat
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Burgers equation
|
2021
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Tai-Ping Liu
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+
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General scalar conservation laws
|
2021
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Tai-Ping Liu
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+
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Riemann problem
|
2021
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Tai-Ping Liu
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+
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Shock Waves
|
2021
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Tai-Ping Liu
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+
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Multi-dimensional gas flows
|
2021
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Tai-Ping Liu
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+
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Scalar convex conservation laws
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2021
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Tai-Ping Liu
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+
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Boltzmann collision operator for the infinite range potential: A limit problem
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2019
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Jin-Cheng Jiang
Tai-Ping Liu
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+
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Multi-dimensional Wave Propagation Over a Burgers Shock Profile
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2018
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Tai-Ping Liu
Shih‐Hsien Yu
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PDF
Chat
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Letter to the editors in chief
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2017
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Viscous Scalar Rarefaction Waves
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2017
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Tai-Ping Liu
Haitao Wang
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+
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Proceedings of the XV international conference on hyperbolic problems: Theory, numerics, applications
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2016
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Constantin Dafermos
Hermano Frid
Felipe Linares
Tai-Ping Liu
Gustavo Ponce
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+
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Wave propagation for the compressible Navier–Stokes equations
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2015
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Tai-Ping Liu
Se Eun Noh
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+
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Shock waves in conservation laws with physical viscosity
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2014
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Tai-Ping Liu
Yanni Zeng
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+
PDF
Chat
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Boundary Singularity for Thermal Transpiration Problem of the Linearized Boltzmann Equation
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2014
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I‐Kun Chen
Tai-Ping Liu
Shigeru Takata
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+
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FUJITA EQUATION WITH BOUNDARY EFFECT
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2014
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Kinetic Theory and Gas Dynamics, Some Historical Perspectives
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2014
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Tai-Ping Liu
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+
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Boundary Wave Propagator for Compressible Navier–Stokes Equations
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2013
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Tai-Ping Liu
Shih‐Hsien Yu
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+
PDF
Chat
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Aspects of dissipation for compressible fluids and kinetic theory
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2013
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Tai-Ping Liu
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+
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Invariant Manifolds for Steady Boltzmann Flows and Applications
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2013
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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On Nonlinear Stability of Viscous Shock Waves with Physical Viscosity
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2012
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Tai-Ping Liu
Yanni Zeng
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+
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DIRICHLET-NEUMANN KERNEL FOR HYPERBOLIC-DISSIPATIVE SYSTEM IN HALF-SPACE
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2012
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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MULTI-DIMENSIONAL GAS FLOW: SOME HISTORICAL PERSPECTIVES
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2011
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Tai-Ping Liu
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+
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SOLVING BOLTZMANN EQUATION, PART I: GREEN'S FUNCTION
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2011
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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VISCOUS CONSERVATION LAWS, PART I: SCALAR LAWS
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2010
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Tai-Ping Liu
Shih‐Hsien Yu
Yanni Zeng
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+
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VISCOUS RAREFACTION WAVES
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2010
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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On green's function for hyperbolic-parabolic systems
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2009
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Tai-Ping Liu
Yanni Zeng
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+
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Time-Asymptotic Behavior of Wave Propagation Around a Viscous Shock Profile
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2009
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Tai-Ping Liu
Yanni Zeng
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+
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Boltzmann equation, boundary effects
|
2009
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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VISCOUS SHOCK WAVE TRACING, LOCAL CONSERVATION LAWS, AND POINTWISE ESTIMATES
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2009
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Diffusion under gravitational and boundary effects.
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2008
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Supersonic flow onto a solid wedge
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2007
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Volker Elling
Tai-Ping Liu
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+
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Nonlinear Stability of Rarefaction Waves for the Boltzmann Equation
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2006
|
Tai-Ping Liu
Tong Yang
Shih‐Hsien Yu
Huijiang Zhao
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+
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THE ELLIPTICITY PRINCIPLE FOR SELF-SIMILAR POTENTIAL FLOWS
|
2005
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Volker Elling
Tai-Ping Liu
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+
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The ellipticity principle for selfsimilar polytropic potential flow
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2005
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Volker Elling
Tai-Ping Liu
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+
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EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION
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2004
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Chiun‐Chuan Chen
Tai-Ping Liu
Tong Yang
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+
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Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles
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2004
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Energy method for Boltzmann equation
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2003
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Tai-Ping Liu
Tong Yang
Shih‐Hsien Yu
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+
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Shock waves
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2003
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Tai-Ping Liu
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+
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Entropy Production and Admissibility of Shocks
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2003
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Tai-Ping Liu
Tommaso Ruggeri
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+
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Energy Method for Equations in Gas Dynamics
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2003
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Shock waves
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2003
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Tai-Ping Liu
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+
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None
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2002
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Tai-Ping Liu
Tong Yang
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+
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Solutions of Euler-Poisson Equations¶for Gaseous Stars
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2002
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Yinbin Deng
Tai-Ping Liu
Tong Yang
Zheng‐an Yao
|
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+
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Advances in the Theory of Shock Waves
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2001
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Tai-Ping Liu
Guy Métivier
Joel Smoller
Blake Temple
Wen‐An Yong
Kevin Zumbrun
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PDF
Chat
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Some nonlinear functionals for scalar conservation laws
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2001
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Tai-Ping Liu
Tong Yang
Yongshu Zheng
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+
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Well-Posedness Theory for Hyperbolic Systems of Conservation Laws
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2001
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Tai-Ping Liu
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+
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On Recent Progress in Shock Wave Theory
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2000
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Tai-Ping Liu
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PDF
Chat
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ON SHOCK WAVE THEORY
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2000
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Tai-Ping Liu
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+
PDF
Chat
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Hyperbolic conservation laws and dynamic systems
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2000
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Tai-Ping Liu
Shih‐Hsien Yu
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+
PDF
Chat
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Compressible flow with vacuum and physical singularity
|
2000
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Tai-Ping Liu
Tong Yang
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+
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Well-posedness theory for hyperbolic conservation laws
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1999
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Tai-Ping Liu
Tong Yang
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+
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A new entropy functional for a scalar conservation law
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1999
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Tai-Ping Liu
Tong Yang
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+
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Continuum shock profiles for discrete conservation laws II: Stability
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1999
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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Nonlinear Stability of Weak Detonation Waves¶for a Combustion Model
|
1999
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
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1999
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Tai-Ping Liu
Tong Yang
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+
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Compressible Navier–Stokes Equations with Zero Heat Conductivity
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1999
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Tai-Ping Liu
Yanni Zeng
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+
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Continuum shock profiles for discrete conservation laws I: Construction
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1999
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Tai-Ping Liu
Shih‐Hsien Yu
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+
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L_1 Stability of Conservation Laws with coinciding hugoniot and characteristic curves
|
1999
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Tai-Ping Liu
Tong Yang
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+
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Well-Posedness Theory for System of Hyperbolic Conservation Laws
|
1999
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Tai-Ping Liu
Tong Yang
|
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+
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𝐿₁ stability for systems of hyperbolic conservation laws
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1999
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Tai-Ping Liu
Tong Yang
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+
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The Pointwise Estimates of Diffusion Wave for the Navier-Stokes Systems in Odd Multi-Dimensions
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1998
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Tai-Ping Liu
Weike Wang
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+
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Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
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1998
|
Tai-Ping Liu
Akitaka Matsumura
Kenji Nishihara
|
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+
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Vacuum states for compressible flow
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1998
|
Tai-Ping Liu
Zhouping Xin
Tong Yang
|
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+
PDF
Chat
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Zero dissipation and stability of shocks
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1998
|
Tai-Ping Liu
|
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+
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Compressible Euler Equations with Vacuum
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1997
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Tai-Ping Liu
Tong Yang
|
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+
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Pointwise convergence to shock waves for viscous conservation laws
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1997
|
Tai-Ping Liu
|
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+
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Propagation of a Stationary Shock Layer in the Presence of a Boundary
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1997
|
Tai-Ping Liu
Shih‐Hsien Yu
|
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+
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Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
|
1997
|
Tai-Ping Liu
Yanni Zeng
|
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+
PDF
Chat
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Uniform $L_1$ boundedness of solutions of hyperbolic conservation laws
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1997
|
Tai-Ping Liu
Tong Yang
|
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+
PDF
Chat
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Pointwise decay to contact discontinuities for systems of viscous conservation laws
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1997
|
Tai-Ping Liu
Zhouping Xin
|
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+
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Nonlinear evolutionary partial differential equations : International Conference on Nonlinear Evolutionary Partial Differential Equations, June 21-25, 1993, Beijing, People's Republic of China
|
1997
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Contributions to the mathematical theory of magnetohydrodynamic shock waves
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Nonlinear Galerkin method using Legendre polynomials
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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The essence of Glimm’s scheme
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Survey of vacuum theory and conjecture
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Global behavior of positive solutions to a quasilinear parabolic equation with nonlinear boundary absorption
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Necessary and sufficient conditions of extinction and blow-up on some parabolic equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Entropy solutions for a hydrodynamic model for semiconductors
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1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Resonances of the Schwarzschild metric
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Nonlinear Galerkin method for Navier-Stokes equations with stream form
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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A study of the global weak solution for the isentropic equation of a polytropic gas
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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Some results on nonlinear evolution equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
|
+
PDF
Chat
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Global existence of solutions for the reaction-diffusion systems which don’t satisfy a zero sum condition
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Optimal error estimates for viscosity method and monotone scheme to Riemann problem
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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The large time behavior of Cauchy problem for a dissipative Benjamin-Ono type equation
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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Stability of boundary integral methods for water waves
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Zeros of solutions of hyperbolic equations with functional arguments
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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A survey on stability of viscous shock profiles without genuine nonlinearity
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Nonlinear Evolutionary Partial Differential Equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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Interaction of three progressing waves with different singularities for semilinear wave equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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The bidimensional Stefan problem with nonlinear convection
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Singular perturbation problems to a combustion equation in very long cylindrical domains
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Delta waves in solutions of conservation laws
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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A degenerate reaction-diffusion problem
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Nonlinear waves for viscous conservation laws
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Cauchy problem of nonisentropic gas dynamics equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Riemann problem for hyperbolic combustion
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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A combined spectral-finite element method for a type of nonlinear two-dimensional Schrödinger equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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A symplectic difference scheme for the PDEs
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Convergence and error bound analysis of a finite-difference scheme for the one-dimensional Navier-Stokes equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Systems of quasilinear hyperbolic equations with quadratic coupling
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Entropy for hyperbolic systems of conservation laws in several space dimensions
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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Nonexistence of global solutions to a class of generalized improved Boussinesq equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Solution to M-D Riemann problems for quasilinear hyperbolic system of proportional conservation laws
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Nonlinear system of equations of mixed type and nonlinear complex equation of mixed type
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Some problems on semiconductor equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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On the stability of Broadwell shocks
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Cauchy problem for strongly damped nonlinear wave equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Global existence and qualitative behavior of solutions for the system of compressible adiabatic flow with damping
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Slow dynamics of linear waves in nonlinear systems of conservation laws
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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A new proof of existence of the wave front solutions for a kind of reaction-diffusion system
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Scattering operator for the Klein-Gordon equation on the Schwarzschild metric
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Existence and convergence of solutions to higher order generalized KdV-Burgers equations
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
PDF
Chat
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On a complex dynamical and dissipative structure of partial differential equations
|
1996
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Xia-Xi Ding
Tai-Ping Liu
|
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+
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On the compactly supported solutions of KPP or Fischer type equations
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1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Euler-Poisson-Darboux equations and hyperbolic conservation laws
|
1996
|
Xia-Xi Ding
Tai-Ping Liu
|
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+
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Compressible flow with damping and vacuum
|
1996
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Tai-Ping Liu
|
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+
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Nonlinear hyperbolic-dissipative partial differential equations
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1996
|
Tai-Ping Liu
|
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+
PDF
Chat
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On nonlinear stability of general undercompressive viscous shock waves
|
1995
|
Tai-Ping Liu
Kevin Zumbrun
|
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+
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Nonlinear Stability of Strong Detonations for a Viscous Combustion Model
|
1995
|
Tai-Ping Liu
Ying Longan
|
|
+
PDF
Chat
|
Nonlinear stability of an undercompressive shock for complex Burgers equation
|
1995
|
Tai-Ping Liu
Kevin Zumbrun
|
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+
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Non-Linear Waves in Gas Dynamics and Mechanics
|
1994
|
Tai-Ping Liu
|
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+
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Nonlinear stability of overcompresive shock waves in a rotationally invariant system of viscous conservation laws
|
1993
|
Heinrich Freistühler
Tai-Ping Liu
|
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+
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Existence theory for nonlinear hyperbolic systems in nonconservative form
|
1993
|
Philippe Le Floch
Tai-Ping Liu
|
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+
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Nonlinear Stability and Instability of Overcompressive Shock Waves
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1993
|
Tai-Ping Liu
|
|
+
PDF
Chat
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Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
|
1992
|
Ling Hsiao
Tai-Ping Liu
|
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+
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Geometric Theory of Shock Waves
|
1991
|
Tai-Ping Liu
|
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+
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Nonlinear Partial Differential Equations for Gas and Elasticity
|
1990
|
Tai-Ping Liu
|
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+
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Nonlinear Waves in Mechanics and Gas Dynamics
|
1990
|
Tai-Ping Liu
|
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+
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Overcompressive Shock Waves
|
1990
|
Tai-Ping Liu
Zhouping Xin
|
|
+
PDF
Chat
|
Convergence of diffusion waves of solutions for viscous conservation laws
|
1989
|
I‐Liang Chern
Tai-Ping Liu
|
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+
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Shock wave solutions of the 1d Navier-Stokes equations for compressible, isentropic flow
|
1989
|
David J. Hoff
Tai-Ping Liu
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+
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Nonlinear waves for viscoelasticity with fading memory
|
1988
|
Tai-Ping Liu
|
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+
PDF
Chat
|
Nonlinear stability of rarefaction waves for compressible Navier Stokes equations
|
1988
|
Tai-Ping Liu
Zhouping Xin
|
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+
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Nonlinear resonance for quasilinear hyperbolic equation
|
1987
|
Tai-Ping Liu
|
|
+
PDF
Chat
|
Convergence to diffusion waves of solutions for viscous conservation laws
|
1987
|
I‐Liang Chern
Tai-Ping Liu
|
|
+
PDF
Chat
|
Hyperbolic conservation laws with relaxation
|
1987
|
Tai-Ping Liu
|
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+
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HYPERBOLIC CONSERVATION LAWS AND RELATED TOPICS
|
1987
|
Tai-Ping Liu
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+
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Stability of Nonlinear Waves
|
1987
|
Tai-Ping Liu
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+
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A conservative, piecewise-steady difference scheme for transonic nozzle flow
|
1986
|
Huang Lu-ping
Tai-Ping Liu
|
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+
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Stability of shock wave profiles for a model Boltzmann equation
|
1986
|
Russel E. Caflisch
Tai-Ping Liu
|
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+
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On a nonstrictly hyperbolic system of conservation laws
|
1985
|
Tai-Ping Liu
Ching‐Hua Wang
|
|
+
PDF
Chat
|
Nonlinear stability of shock waves for viscous conservation laws
|
1985
|
Tai-Ping Liu
|
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+
PDF
Chat
|
Nonlinear stability of shock waves for viscous conservation laws
|
1985
|
Tai-Ping Liu
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+
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The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow
|
1984
|
Harland M. Glaz
Tai-Ping Liu
|
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+
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Source-solutions and asymptotic behavior in conservation laws
|
1984
|
Tai-Ping Liu
Michel Pierre
|
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+
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Asymptotic states for hyperbolic conservation laws with a moving source
|
1983
|
Li Caizhong
Tai-Ping Liu
|
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+
PDF
Chat
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Resonance for quasilinear hyperbolic equation
|
1982
|
Tai-Ping Liu
|
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+
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Transonic gas flow in a duct of varying area
|
1982
|
Tai-Ping Liu
|
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+
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Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
|
1979
|
Tai-Ping Liu
|
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+
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The free piston problem for gas dynamics
|
1978
|
Tai-Ping Liu
|
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+
PDF
Chat
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Invariants and Asymptotic Behavior of Solutions of a Conservation Law
|
1978
|
Tai-Ping Liu
|
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Initial-boundary value problems for gas dynamics
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1977
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Tai-Ping Liu
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Shock waves in the nonisentropic gas flow
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1976
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Tai-Ping Liu
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Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation laws
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1976
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Tai-Ping Liu
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The entropy condition and the admissibility of shocks
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1976
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Tai-Ping Liu
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PDF
Chat
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Existence and Uniqueness Theorems for Riemann Problems
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1975
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Tai-Ping Liu
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The Riemann problem for general systems of conservation laws
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1975
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Tai-Ping Liu
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The Riemann Problem for General 2 × 2 Conservation Laws
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1974
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Tai-Ping Liu
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Riemann Problem For General 2 X 2 Systems Of Conservation Laws.
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1973
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Tai-Ping Liu
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