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arXiv · 2307.05145

Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping

Hui Liu·Chengfeng Sun·Mei Li
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Abstract

The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for $\alpha\geq\frac{3}{2}$ and $\beta\geq4$. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in $H^s(\mathbb R^3)$ $(s>2)$ for $\alpha\geq\frac{3}{2}$ and $4\leq\beta\leq5$.

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Hui Liu, Chengfeng Sun, Mei Li. 2023-07-11. Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping. https://arxiv.org/abs/2307.05145

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