Pré-Publication, Document De Travail Année : 2025

The primitive equations for the ocean and atmosphere in anisotropic spaces

Résumé

In this work, we study the well-posedness of the primitive equations for the ocean and the atmosphere on two specific domains: a bounded domain $\Omega_1\mathrel{\mathop:}=(-1,1)^3$ with periodic boundary conditions, and the strip $\Omega_2\mathrel{\mathop:}=\mathbb{R}^2\times(-1,1)$ with periodic boundary conditions in the vertical direction. In a first time, we establish a global existence and uniqueness theorem for small initial data in a suitable anisotropic Besov space. Then, we also justify, in a similar functional framework, the singular limit from the anisotropic Navier-Stokes equations to this system.

Fichier principal
Vignette du fichier
main.pdf (411.48 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-05154602 , version 1 (09-07-2025)

Licence

Identifiants

  • HAL Id : hal-05154602 , version 1

Citer

Valentin Lemarié. The primitive equations for the ocean and atmosphere in anisotropic spaces. 2025. ⟨hal-05154602⟩
34 Consultations
263 Téléchargements

Partager

  • More