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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2007-04-04
Accepted: 2007-07-18
Published online: 2007-08-23

DOI: 10.1016/j.crma.2007.07.025

Author's affiliations:

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/

References
Cited by

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