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

Petcu, Madalina; Wirosoetisno, Djoko

Authors

Madalina Petcu



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.

Citation

Petcu, M., & Wirosoetisno, D. (2005). Sobolev and Gevrey regularity results for the primitive equations in three space dimensions. Applicable Analysis, 84(8), 769-788. https://doi.org/10.1080/00036810500130745

Journal Article Type Article
Publication Date Aug 1, 2005
Deposit Date Aug 21, 2007
Journal Applicable Analysis
Print ISSN 0003-6811
Electronic ISSN 1563-504X
Publisher Taylor and Francis Group
Peer Reviewed Peer Reviewed
Volume 84
Issue 8
Pages 769-788
DOI https://doi.org/10.1080/00036810500130745
Keywords Primitive equations, Gevrey regularity.