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Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity |
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| Authors: | Chongsheng Cao Jinkai Li Edriss S Titi |
| Institution: | 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, University of California, Irvine, CA, 92697-3875, USA 4. Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA, 92697-3875, USA |
| Abstract: | In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H 2 initial data. |
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