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Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity |
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| Authors: | Chongsheng Cao Jinkai Li Edriss S. Titi |
| 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 and 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 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with H2 initial data. |
| Keywords: | 35Q35 76D03 86A10 |
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