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

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.
Complete list of metadatas

Cited literature [19 references]  Display  Hide  Download

https://hal.inria.fr/inria-00172578
Contributor : Antoine Rousseau <>
Submitted on : Monday, September 17, 2007 - 4:05:00 PM
Last modification on : Thursday, August 1, 2019 - 3:18:19 PM
Long-term archiving on : Monday, September 24, 2012 - 12:30:17 PM

File

CLRTT07.pdf
Files produced by the author(s)

Identifiers

Collections

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⟩

Share

Metrics

Record views

519

Files downloads

173