Comptes Rendus
no. 4
Numerical Analysis
Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations
[L'existence d'une solution en 3D pour la dynamique de l'océan à grande échelle]

Présenté par : Olivier Pironneau

Georgij M. Kobelkov1
1 Department of Mechanics and Mathematics of Moscow State University, Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 283-286.

For the 3D system of equations describing large-scale ocean dynamics in the Cartesian coordinate system existence and uniqueness of a solution on an arbitrary time interval [0,T] is proved and the norm ‖uˆx‖ is shown to be continuous in time on [0,T].

L'auteur considère le système 3D d'équations décrivant la dynamique de l'océan à grande échelle en coordonnées cartésiennes. Il démontre, pour tout coefficient de viscosité et toute donnée initiale, l'existence et l'unicité d'une solution sur un intervalle de temps [0,T] arbitrairement, ainsi que la continuité en temps sur l'intervalle [0,T] de la norme ‖uˆx‖.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.04.020

Georgij M. Kobelkov 1

1 Department of Mechanics and Mathematics of Moscow State University, Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia 
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Georgij M. Kobelkov. Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations. Comptes Rendus. Mathématique, Volume 343 (2006) no. 4, pp. 283-286. doi : 10.1016/j.crma.2006.04.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.04.020/

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