Shock profiles for non-equilibrium radiating gases

C Lin, JF Coulombel, T Goudon - Physica D: Nonlinear Phenomena, 2006 - Elsevier
We study a model of radiating gases that describes the interaction of an inviscid gas with
photons. We show the existence of smooth traveling waves called 'shock profiles', when the …

Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics

S Jiang, F Li, F Xie - SIAM Journal on Mathematical Analysis, 2015 - SIAM
It is well known that the general radiation hydrodynamics models include two mainly
coupled parts: one is the macroscopic fluid part, which is governed by the compressible …

[HTML][HTML] Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

L Fan, L Ruan, W Xiang - Annales de l'Institut Henri Poincaré C, Analyse …, 2019 - Elsevier
This paper is devoted to the study of the wellposedness of the radiative Euler equations. By
employing the anti-derivative method, we show the unique global-in-time existence and the …

Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system

J Wang, F Xie - Journal of Differential Equations, 2011 - Elsevier
This paper is concerned with the large time behavior of solutions to a radiating gas model,
which is represented mathematically as a Cauchy problem for a one-dimensional hyperbolic …

Stability of radiative shock profiles for hyperbolic–elliptic coupled systems

T Nguyen, RG Plaza, K Zumbrun - Physica D: Nonlinear Phenomena, 2010 - Elsevier
Extending previous work with Lattanzio and Mascia on the scalar (in fluid-dynamical
variables) Hamer model for a radiative gas, we show nonlinear orbital asymptotic stability of …

Asymptotic stability of shock profiles in radiative hydrodynamics

C Lin, JF Coulombel, T Goudon - Comptes Rendus. Mathématique, 2007 - numdam.org
Dans un précédent travail, nous avons montré l'existence de profils de choc pour un modèle
de transfert radiatif hors-équilibre. Dans cette Note, nous montrons que de tels profils de …

Asymptotic stability of rarefaction waves in radiative hydrodynamics

C Lin - … Problems: Theory, Numerics and Applications (In 2 …, 2012 - World Scientific
In this work we study the asymptotic stability of rarefaction waves for solutions to a one-
dimensional radiative hydrodynamic system which couples hyperbolic-elliptic equations. We …

Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model

S Li, J Wang - Nonlinear Analysis, 2022 - Elsevier
In this paper we are concerned with a 1D compressible radiation hydrodynamics model,
which is described by a Navier–Stokes-elliptic coupled system of equations without …

NONLINEAR STABILITY OF COMBINATION OF VISCOUS CONTACT WAVE WITH RAREFACTION WAVES FOR A 1D RADIATION HYDRODYNAMICS MODEL.

F Xie - Discrete & Continuous Dynamical Systems-Series B, 2012 - search.ebscohost.com
In this paper we consider the large-time behavior of solutions for the Cauchy problem to a
compressible radiating gas model, where the far field states are prescribed. This radiating …

Singular limit to strong contact discontinuity for a 1D compressible radiation hydrodynamics model

J Wang, F Xie - SIAM journal on mathematical analysis, 2011 - SIAM
In this paper, we consider a singular limit of 1D compressible radiation hydrodynamics
(CRHD) systems. This singular limit process corresponds to the physical problem of letting …