Comptes Rendus
no. 11
Partial Differential Equations/Mathematical Problems in Mechanics
Asymptotic stability of shock profiles in radiative hydrodynamics
[Stabilité asymptotique de profils de choc pour un modèle de transfert radiatif]

Présenté par : Pierre-Louis Lions

Chunjin Lin1 ; Jean-François Coulombel1 ; Thierry Goudon1
1 Équipe SIMPAF, INRIA Futurs et Laboratoire Paul-Painlevé (UMR CNRS 8524), Université Lille 1, cité scientifique, 59655 Villeneuve d'Ascq cedex, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 11, pp. 625-628.

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 choc sont asymptotiquement stables pour des perturbations de masse nulle. Comme dans le cas des profils de choc visqueux, l'analyse repose sur des estimations d'énergie pour le système intégré.

In a former work, we have shown the existence of smooth shock profiles for a model of nonequilibrium radiative hydrodynamics. In this Note, we show that such shock profiles are asymptotically stable for zero mass perturbation. Following the case of viscous shock profiles, the analysis relies on energy estimates for the integrated system.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.10.029

Chunjin Lin 1 ; Jean-François Coulombel 1 ; Thierry Goudon 1

1 Équipe SIMPAF, INRIA Futurs et Laboratoire Paul-Painlevé (UMR CNRS 8524), Université Lille 1, cité scientifique, 59655 Villeneuve d'Ascq cedex, France 
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Chunjin Lin; Jean-François Coulombel; Thierry Goudon. Asymptotic stability of shock profiles in radiative hydrodynamics. Comptes Rendus. Mathématique, Volume 345 (2007) no. 11, pp. 625-628. doi : 10.1016/j.crma.2007.10.029. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.10.029/

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