A powerfull method has been developped in [2] for the study of -stability of travelling waves in conservation laws or more generally in equations which display -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.
@article{SEDP_1998-1999____A8_0, author = {Serre, Denis}, title = {Stabilit\'e $L^1$ d{\textquoteright}ondes progressives de lois de conservation scalaires}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:8}, pages = {1--11}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {1998-1999}, zbl = {1063.35520}, language = {fr}, url = {http://www.numdam.org/item/SEDP_1998-1999____A8_0/} }
TY - JOUR AU - Serre, Denis TI - Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:8 PY - 1998-1999 SP - 1 EP - 11 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_1998-1999____A8_0/ LA - fr ID - SEDP_1998-1999____A8_0 ER -
%0 Journal Article %A Serre, Denis %T Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:8 %D 1998-1999 %P 1-11 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_1998-1999____A8_0/ %G fr %F SEDP_1998-1999____A8_0
Serre, Denis. Stabilité $L^1$ d’ondes progressives de lois de conservation scalaires. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 8, 11 p. http://www.numdam.org/item/SEDP_1998-1999____A8_0/
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