Some 2.5D Models for the Primitive Equations of the Ocean and the Atmosphere

Qingshan Chen 1 Jacques Laminie 2 Antoine Rousseau 3 Roger Temam 1, 2 Joe Tribbia 4
1 ISC - Institute for Scientific Computing and Applied Mathematics
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
4 CGD - Climate and Global Dynamics
Abstract : The primitive equations (PEs) of the atmosphere and the ocean without viscosity are considered. A 2.5D model is introduced, whose motivation is described in the Introduction. A set of nonlocal boundary conditions is proposed, and well-posedness is established for the flows linearized around a constant velocity stratified flow; homogeneous and nonhomogeneous boundary conditions are considered. A related model of dimension 2.5, of physical interest but with fewer degrees of freedom, is also considered at the end.
Keywords : Nonviscous primitive equations limited domains boundary conditions open boundary conditions compatibility conditions well-posedness semigroup theory
Type de document :
Article dans une revue
Analysis and Applications, World Scientific Publishing, 2007, 5 (3), pp.199-229. 〈10.1142/S021953050700095X〉
Liste complète des métadonnées

Littérature citée [19 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/inria-00172578
Contributeur : Antoine Rousseau <>
Soumis le : lundi 17 septembre 2007 - 16:05:00
Dernière modification le : mercredi 11 avril 2018 - 01:58:03
Document(s) archivé(s) le : lundi 24 septembre 2012 - 12:30:17

Fichier

CLRTT07.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

INRIA | INSMI | LM-ORSAY | LJK | LJK_MAD | LJK_MAD_MOISE | UGA | TDS-MACS

Citation

Qingshan Chen, Jacques Laminie, Antoine Rousseau, Roger Temam, Joe Tribbia. Some 2.5D Models for the Primitive Equations of the Ocean and the Atmosphere. Analysis and Applications, World Scientific Publishing, 2007, 5 (3), pp.199-229. 〈10.1142/S021953050700095X〉. 〈inria-00172578〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

458

Téléchargements de fichiers

139

Contact


archive-ouverte@inria.fr