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Global Regularity of 2D Leray-Alpha Regularized Tropical Climate Models
Authors:Ying Zhang & Baoquan Yuan
Institution:School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
Abstract:In this paper, we establish the global regularity of 2D leray-alpha regularized tropical climate models. The global strong solution to the system with a half Laplacian of the first baroclinic model of velocity $(\Lambda v)$ and thermal diffusion $(-\Delta\theta)$ or with only the dissipation of the barotropic mode $(-\Delta u)$ are obtained.
Keywords:Tropical climate model                                                                                                Leray-alpha model                                                                                                global regularity  
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