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 Division [Boulder]
NCAR - National Center for Atmospheric Research [Boulder]
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
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Submitted on : Monday, September 17, 2007 - 4:05:00 PM
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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⟩

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