[Stabilité asymptotique de profils de choc pour un modèle de transfert radiatif]
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.
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@article{CRMATH_2007__345_11_625_0,
author = {Lin, Chunjin and Coulombel, Jean-Fran\c{c}ois and Goudon, Thierry},
title = {Asymptotic stability of shock profiles in radiative hydrodynamics},
journal = {Comptes Rendus. Math\'ematique},
pages = {625--628},
publisher = {Elsevier},
volume = {345},
number = {11},
year = {2007},
doi = {10.1016/j.crma.2007.10.029},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.10.029/}
}
TY - JOUR AU - Lin, Chunjin AU - Coulombel, Jean-François AU - Goudon, Thierry TI - Asymptotic stability of shock profiles in radiative hydrodynamics JO - Comptes Rendus. Mathématique PY - 2007 SP - 625 EP - 628 VL - 345 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.10.029/ DO - 10.1016/j.crma.2007.10.029 LA - en ID - CRMATH_2007__345_11_625_0 ER -
%0 Journal Article %A Lin, Chunjin %A Coulombel, Jean-François %A Goudon, Thierry %T Asymptotic stability of shock profiles in radiative hydrodynamics %J Comptes Rendus. Mathématique %D 2007 %P 625-628 %V 345 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2007.10.029/ %R 10.1016/j.crma.2007.10.029 %G en %F CRMATH_2007__345_11_625_0
Lin, Chunjin; Coulombel, Jean-François; Goudon, Thierry. Asymptotic stability of shock profiles in radiative hydrodynamics. Comptes Rendus. Mathématique, Tome 345 (2007) no. 11, pp. 625-628. doi : 10.1016/j.crma.2007.10.029. http://archive.numdam.org/articles/10.1016/j.crma.2007.10.029/
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