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


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.


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