Comptes Rendus
Partial Differential Equations/Mathematical Problems in Mechanics
Existence of global weak solutions for a viscous 2D bilayer Shallow Water model
[Existence de solutions faibles globales dʼun modèle bicouche bidimensionnel de Saint-Venant]
Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 285-289.

Nous considérons un système composé par deux fluides immiscibles dans un domaine bidimensionnel pouvant être représenté par un modèle bicouche visqueux de Saint-Venant avec des termes de friction additionnels et des effets de capillarité. Nous donnons un théorème dʼexistence de solutions faibles globales dans un domaine périodique.

We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow Water equations with extra friction terms and capillary effects. We give an existence theorem of global weak solutions in a periodic domain.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.02.011

Gladys Narbona-Reina 1 ; Jean De Dieu Zabsonré 2

1 Universidad de Sevilla, Dpto. Matemática Aplicada I, Avda. Reina Mercedes 2, 41012 Sevilla, Spain
2 Université polytechnique de Bobo-Dioulasso, Institut des sciences exactes et appliquées, 01 BP 1091, Bobo 01, Bobo-Dioulasso, Burkina Faso
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Gladys Narbona-Reina; Jean De Dieu Zabsonré. Existence of global weak solutions for a viscous 2D bilayer Shallow Water model. Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 285-289. doi : 10.1016/j.crma.2011.02.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.02.011/

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