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

Fan, Lili; Ruan, Lizhi; Xiang, Wei

doi:10.1016/j.anihpc.2018.03.008

Fan, Lili ; Ruan, Lizhi ; Xiang, Wei

Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 1, pp. 1-25.

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Résumé

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.

DOI : 10.1016/j.anihpc.2018.03.008

Classification : 35B35, 35M20, 35L67, 35Q35
Mots-clés : Radiative Euler equations, Viscous shock waves, Diffusion wave, Stability

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     title = {Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative {Euler} equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1--25},
     publisher = {Elsevier},
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     doi = {10.1016/j.anihpc.2018.03.008},
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     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2018.03.008/}
}

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Fan, Lili; Ruan, Lizhi; Xiang, Wei. Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Annales de l'I.H.P. Analyse non linéaire, Tome 36 (2019) no. 1, pp. 1-25. doi : 10.1016/j.anihpc.2018.03.008. http://www.numdam.org/articles/10.1016/j.anihpc.2018.03.008/

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