Comptes Rendus
Sur un modèle de Saint-Venant visqueux et sa limite quasi-géostrophique
[On viscous shallow-water equations (Saint-Venant model) and the quasi-geostrophic limit]
Comptes Rendus. Mathématique, Volume 335 (2002) no. 12, pp. 1079-1084.

We consider a two dimensional viscous shallow water model with friction term. The existence of global weak solutions is obtained and convergence to the strong solution of the viscous quasi-geostrophic equation with free surface term is proven in the well prepared case.

On considère un modèle de Saint-Venant avec viscosité et terme de friction en dimension deux, pour lequel on obtient un résultat d'existence globale de solutions faibles. On montre également la convergence de ces solutions vers la solution forte globale des équations quasi-géostrophiques visqueuses avec terme de surface libre pour des données bien préparées.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-073X(02)02610-9

Didier Bresch 1; Benoı̂t Desjardins 2

1 Laboratoire de mathématiques appliquées (UMR 6620), 24, avenue des Landais, 63177 Aubière cedex, France
2 CEA/DIF, BP 12, 91680 Bruyères le Châtel, France
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Didier Bresch; Benoı̂t Desjardins. Sur un modèle de Saint-Venant visqueux et sa limite quasi-géostrophique. Comptes Rendus. Mathématique, Volume 335 (2002) no. 12, pp. 1079-1084. doi : 10.1016/S1631-073X(02)02610-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02610-9/

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