Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

Author:

Cao Chongsheng1,Li Jinkai2,Titi Edriss S.23

Affiliation:

1. Department of Mathematics; Florida International University; University Park Miami FL 33199 USA

2. Department of Computer Science and Applied Mathematics; Weizmann Institute of Science; Rehovot 76100 Israel

3. Department of Mathematics; Texas A&M University; 3368 TAMU College Station TX 77843-3368 USA

Funder

National Science Foundation

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference27 articles.

1. On the uniqueness of weak solutions of the two-dimensional primitive equations;Bresch;Differential Integral Equations,2003

2. On the two-dimensional hydrostatic Navier-Stokes equations;Bresch;SIAM J. Math. Anal.

3. Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model;Cao;Comm. Math. Phys.,2013

4. Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics;Cao;Comm. Math. Phys.

5. Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity;Cao;J. Differential Equations,2014

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