Le but de cet article est de présenter quelques résultats mathématiques plus ou moins récents sur la théorie de l’existence globale en temps (solutions faibles et solutions fortes) pour les équations de Navier-Stokes compressibles en dimension supérieure ou égale à deux sans aucune hypothèse de symétrie sur le domaine et sans aucune hypothèse sur la taille des données initiales.
Mots-clés : Équations de Navier-Stokes compressibles, existence globale, explosion, solutions faibles, solutions fortes, viscosités constantes, viscosités non constantes, fluides barotropes, fluides conducteurs de chaleur.
@incollection{JEDP_2006____A3_0, author = {Bresch, Didier and Desjardins, Beno{\^\i}t}, title = {Sur la th\'eorie globale des \'equations de {Navier-Stokes} compressible}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {3}, pages = {1--26}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2006}, doi = {10.5802/jedp.30}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/jedp.30/} }
TY - JOUR AU - Bresch, Didier AU - Desjardins, Benoît TI - Sur la théorie globale des équations de Navier-Stokes compressible JO - Journées équations aux dérivées partielles PY - 2006 SP - 1 EP - 26 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.30/ DO - 10.5802/jedp.30 LA - fr ID - JEDP_2006____A3_0 ER -
%0 Journal Article %A Bresch, Didier %A Desjardins, Benoît %T Sur la théorie globale des équations de Navier-Stokes compressible %J Journées équations aux dérivées partielles %D 2006 %P 1-26 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.30/ %R 10.5802/jedp.30 %G fr %F JEDP_2006____A3_0
Bresch, Didier; Desjardins, Benoît. Sur la théorie globale des équations de Navier-Stokes compressible. Journées équations aux dérivées partielles (2006), article no. 3, 26 p. doi : 10.5802/jedp.30. http://www.numdam.org/articles/10.5802/jedp.30/
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