A 2.5D MODEL FOR THE EQUATIONS OF THE OCEAN AND THE ATMOSPHERE-Reference-Cited by-同舟云学术

A 2.5D MODEL FOR THE EQUATIONS OF THE OCEAN AND THE ATMOSPHERE

Published:2007-07 Issue:03 Volume:05 Page:199-229
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

CHEN Q. S.¹,LAMINIE J.²³,ROUSSEAU A.⁴,TEMAM R.¹,TRIBBIA J.⁵

Affiliation:

1. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405, USA

2. CNRS, Mathématiques, Université Paris-Sud, Orsay, Paris, France

3. Université des Antilles et de la Guyane, Pointe à Pitre, GRIMAAG, Guadeloupe, France

4. INRIA, Project Team Moïse, Grenoble, France

5. National Center for Atmospheric Research, Boulder, Colorado, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953050700095X

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