no. 9-10
Mathematical Problems in Mechanics
Global weak solutions for asymmetric incompressible fluids with variable density
[Solutions faibles globales pour les équations des fluides incompressibles asymétriques à densité variable]

Présenté par : Philippe G. Ciarlet

Braz e Silva, Pablo1 ; Santos, Eduardo G.2
1 Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, 50740-540, Brazil
2 Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil
Comptes Rendus. Mathématique, Tome 346 (2008) no. 9-10, pp. 575-578.

On établit l'existence de solutions faibles globales en temps pour les équations des fluides incompressibles asymétriques à densité variable, dans le cas oú la densité initiale n'est pas strictement positive.

We establish the existence of global in time weak solutions for the equations of asymmetric incompressible fluids with variable density, when the initial density is not necessarily strictly positive.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.03.008
Braz e Silva, Pablo 1 ; Santos, Eduardo G. 2

1 Departamento de Matemática, Universidade Federal de Pernambuco, Recife, PE, 50740-540, Brazil
2 Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil 
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Braz e Silva, Pablo; Santos, Eduardo G. Global weak solutions for asymmetric incompressible fluids with variable density. Comptes Rendus. Mathématique, Tome 346 (2008) no. 9-10, pp. 575-578. doi : 10.1016/j.crma.2008.03.008. http://www.numdam.org/articles/10.1016/j.crma.2008.03.008/

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