JournalsaihpcVol. 36, No. 1pp. 1–25

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

  • Lili Fan

    School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430023, China

  • Lizhi Ruan

    The Hubei Key Laboratory of Mathematical Physics, School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China

  • Wei Xiang

    Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations cover
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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.

Cite this article

Lili Fan, Lizhi Ruan, Wei Xiang, Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 1, pp. 1–25

DOI 10.1016/J.ANIHPC.2018.03.008