Global existence for the primitive equations with small anisotropic viscosity - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Revista Matemática Iberoamericana Année : 2011

Global existence for the primitive equations with small anisotropic viscosity

Résumé

In this paper, we consider the primitive equations with zero vertical viscosity, zero vertical thermal diffusivity, and the horizontal viscosity and horizontal thermal diffusivity of size epsilon(alpha) where 0 < alpha < alpha(0). We prove the global existence of a unique strong solution for large data provided that the Rossby number is small enough (the rotation and the vertical stratification are large).
Fichier non déposé

Dates et versions

hal-00693001 , version 1 (01-05-2012)

Identifiants

  • HAL Id : hal-00693001 , version 1

Citer

Frederic Charve, Van-Sang Ngo. Global existence for the primitive equations with small anisotropic viscosity. Revista Matemática Iberoamericana, 2011, 27 (1), pp.1--38. ⟨hal-00693001⟩
131 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More