[La régularité des solutions des équations primitives de l'océan en dimension trois]
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.
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@article{CRMATH_2007__345_5_257_0,
author = {Kukavica, Igor and Ziane, Mohammed},
title = {The regularity of solutions of the primitive equations of the ocean in space dimension three},
journal = {Comptes Rendus. Math\'ematique},
pages = {257--260},
publisher = {Elsevier},
volume = {345},
number = {5},
year = {2007},
doi = {10.1016/j.crma.2007.07.025},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.07.025/}
}
TY - JOUR AU - Kukavica, Igor AU - Ziane, Mohammed TI - The regularity of solutions of the primitive equations of the ocean in space dimension three JO - Comptes Rendus. Mathématique PY - 2007 SP - 257 EP - 260 VL - 345 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.07.025/ DO - 10.1016/j.crma.2007.07.025 LA - en ID - CRMATH_2007__345_5_257_0 ER -
%0 Journal Article %A Kukavica, Igor %A Ziane, Mohammed %T The regularity of solutions of the primitive equations of the ocean in space dimension three %J Comptes Rendus. Mathématique %D 2007 %P 257-260 %V 345 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.07.025/ %R 10.1016/j.crma.2007.07.025 %G en %F CRMATH_2007__345_5_257_0
Kukavica, Igor; Ziane, Mohammed. The regularity of solutions of the primitive equations of the ocean in space dimension three. Comptes Rendus. Mathématique, Tome 345 (2007) no. 5, pp. 257-260. doi : 10.1016/j.crma.2007.07.025. http://www.numdam.org/articles/10.1016/j.crma.2007.07.025/
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