Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

Pages 245-267 from Volume 166 (2007), Issue 1 by Chongsheng Cao, Edriss S. Titi

Abstract

In this paper we prove the global existence and uniqueness (regularity) of strong solutions to the three-dimensional viscous primitive equations, which model large scale ocean and atmosphere dynamics.

Mathematical Subject Classification

Primary 2000: , , ,

DOI
https://doi.org/http://doi.org/10.4007/annals.2007.166.245
MR
2342696
zbMATH
1151.35074
Milestones
Received: 2 March 2005
Revised: 14 November 2005
Accepted: 11 February 2005
Published online: 1 March 2009

Authors

Chongsheng Cao

Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, United States

Edriss S. Titi

Department of Mathematics, and Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, United States and Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovet 76100, Israel