Stabilité d’ondes progressives de lois de conservation scalaires
Denis Serre[1]
- [1] UMPA, UMR # 5669 CNRS-ENS Lyon, Ecole Normale Supérieure de Lyon, 46, allée d’Italie, F-69364 Lyon cedex 07
Séminaire Équations aux dérivées partielles (1998-1999)
- Volume: 1998-1999, page 1-11
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topSerre, Denis. "Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-11. <http://eudml.org/doc/10982>.
@article{Serre1998-1999,
abstract = {A powerfull method has been developped in [2] for the study of $L^1$-stability of travelling waves in conservation laws or more generally in equations which display $L^1$-contractivity, maximum principle and mass conservation. We recall shortly the general procedure. We also show that it partly applies to the waves of a model of radiating gas. These waves have first been studied by Kawashima and Nishibata [5,6] in a different framework. Therefore, shock fronts for this model are stable under mild perturbations.},
affiliation = {UMPA, UMR # 5669 CNRS-ENS Lyon, Ecole Normale Supérieure de Lyon, 46, allée d’Italie, F-69364 Lyon cedex 07},
author = {Serre, Denis},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {radiating gas; shock fronts},
language = {fre},
pages = {1-11},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires},
url = {http://eudml.org/doc/10982},
volume = {1998-1999},
year = {1998-1999},
}
TY - JOUR
AU - Serre, Denis
TI - Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 11
AB - A powerfull method has been developped in [2] for the study of $L^1$-stability of travelling waves in conservation laws or more generally in equations which display $L^1$-contractivity, maximum principle and mass conservation. We recall shortly the general procedure. We also show that it partly applies to the waves of a model of radiating gas. These waves have first been studied by Kawashima and Nishibata [5,6] in a different framework. Therefore, shock fronts for this model are stable under mild perturbations.
LA - fre
KW - radiating gas; shock fronts
UR - http://eudml.org/doc/10982
ER -
References
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- D. Serre. Systèmes de lois de conservation, I. Diderot arts & Sci. (1996). Paris. MR1459988
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