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Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
We prove the time-asymptotic stability of composite waves consisting of the superposition of
a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navier …
a viscous shock and a rarefaction for the one-dimensional compressible barotropic Navier …
Time-asymptotic stability of generic Riemann solutions for compressible Navier-Stokes-Fourier equations
We establish the time-asymptotic stability of solutions to the one-dimensional compressible
Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that forms a …
Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that forms a …
Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems
We prove the uniqueness and stability of entropy shocks to the isentropic Euler systems
among all vanishing viscosity limits of solutions to associated Navier–Stokes systems. To …
among all vanishing viscosity limits of solutions to associated Navier–Stokes systems. To …
Contraction property for large perturbations of shocks of the barotropic Navier–Stokes system
This paper is dedicated to the construction of a pseudo-norm for which small shockprofiles of
the barotropic Navier–Stokes equations have a contraction property. This contraction …
the barotropic Navier–Stokes equations have a contraction property. This contraction …
decay for large perturbations of viscous shocks for multi-D Burgers equation
We consider a planar viscous shock of moderate strength for a scalar viscous conservation
law in multi-D. We consider a strictly convex flux, as a small perturbation of the Burgers flux …
law in multi-D. We consider a strictly convex flux, as a small perturbation of the Burgers flux …
Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model
We consider a hyperbolic–parabolic system arising from a chemotaxis model in tumor
angiogenesis, which is described by a Keller–Segel equation with singular sensitivity. It is …
angiogenesis, which is described by a Keller–Segel equation with singular sensitivity. It is …
Criteria on contractions for entropic discontinuities of systems of conservation laws
We study the contraction properties (up to shift) for admissible Rankine–Hugoniot
discontinuities of n * nn× n systems of conservation laws endowed with a convex entropy …
discontinuities of n * nn× n systems of conservation laws endowed with a convex entropy …
Long-time behavior towards viscous-dispersive shock for Navier-Stokes equations of Korteweg type
We consider the so-called Naiver-Stokes-Korteweg (NSK) equations for the dynamics of
compressible barotropic viscous fluids with internal capillarity. We handle the time …
compressible barotropic viscous fluids with internal capillarity. We handle the time …
Nonlinear stability of planar viscous shock wave to three-dimensional compressible Navier–Stokes equations
We prove the nonlinear stability of the planar viscous shock up to a time-dependent shift for
the three-dimensional (3D) compressible Navier–Stokes equations under the generic …
the three-dimensional (3D) compressible Navier–Stokes equations under the generic …
L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
We consider a L 2-contraction (a L 2-type stability) of large viscous shock waves for the multi-
dimensional scalar viscous conservation laws, up to a suitable shift by using the relative …
dimensional scalar viscous conservation laws, up to a suitable shift by using the relative …