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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

6 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1-25
Journal / PublicationAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume36
Issue number1
Online published9 Apr 2018
Publication statusPublished - Jan 2019

Abstract

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 the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.

Research Area(s)

  • Diffusion wave, Radiative Euler equations, Stability, Viscous shock waves

Citation Format(s)

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. / Fan, Lili; Ruan, LIzhi; Xiang, Wei.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 36, No. 1, 01.2019, p. 1-25.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review