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

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.

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