The regularity of solutions of the primitive equations of the ocean in space dimension three

Igor Kukavica; Mohammed Ziane

doi:10.1016/j.crma.2007.07.025

Partial Differential Equations/Mathematical Problems in Mechanics

The regularity of solutions of the primitive equations of the ocean in space dimension three
[La régularité des solutions des équations primitives de l'océan en dimension trois]

Présenté par : Philippe G. Ciarlet

Igor Kukavica ¹ ; Mohammed Ziane ¹

¹ Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

Comptes Rendus. Mathématique, Volume 345 (2007) no. 5, pp. 257-260.

Résumé
Abstract

Dans cette Note, on établie l'existence globale des solutions fortes des équations primitives de l'océan en dimension 3 pour des conditions aux limites de type Dirichlet. La méthode de démonstration s'adapte aisément au cas des équations primitives générales dans un domaine avec un fond de topographie variable.

In this Note, the global existence of strong solutions of the primitive equations for the ocean in space dimension 3 with the Dirichlet boundary condition is obtained. The method of the proof can be easily adapted to treat full primitive equations in a domain with a varying bottom topography.

Reçu le : 2007-04-04
Accepté le : 2007-07-18
Publié le : 2007-08-23

DOI : 10.1016/j.crma.2007.07.025

Affiliations des auteurs :

Igor Kukavica ¹ ; Mohammed Ziane ¹

¹ Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

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Igor Kukavica; Mohammed Ziane. The regularity of solutions of the primitive equations of the ocean in space dimension three. Comptes Rendus. Mathématique, Volume 345 (2007) no. 5, pp. 257-260. doi : 10.1016/j.crma.2007.07.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.07.025/

Bibliographie
Cité par

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