Sur la théorie globale des équations de Navier-Stokes compressible

Bresch, Didier; Desjardins, Benoît

Journées équations aux dérivées partielles (2006), article no. 3, 26 p.

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.

Classification : 35Q30
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.

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