Skip to main content

Sobolev and Gevrey regularity results for the primitive equations in three space dimensions

Buy Article:

$60.90 plus tax (Refund Policy)

Abstract:

The aim of this article is to present a qualitative study of the Primitive Equations in a three-dimensional domain, with periodical boundary conditions. We start by recalling some already existing results regarding the existence locally in time of weak solutions and existence and uniqueness of strong solutions, and we prove the existence of very regular solutions, up to -regularity. In the second part of the article we prove that the solution of the Primitive Equations belongs to a certain Gevrey class of functions.

Keywords: 2000 Mathematics Subject Classifications:; 35B65; 35Q35; 76D03; Gevrey regularity; Primitive Equations

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810500130745

Affiliations: 1: Communicated by R. Termam 2: The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Publication date: August 1, 2005

More about this publication?
tandf/gapa/2005/00000084/00000008/art00002
dcterms_title,dcterms_description,pub_keyword
6
5
20
40
5

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more