Global large solution for the tropical climate model with diffusion

Xia Chen; Baoquan Yuan; Ying Zhang

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arXiv · 2110.07852

Global large solution for the tropical climate model with diffusion

Xia Chen·Baoquan Yuan·Ying Zhang

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Abstract

This paper studies the d-dimensional (d=2,3) tropical climate model with only the dissipation of the first baroclinic model of the velocity ($-\eta\Delta v$). By choosing a class of special initial data $(u_0,v_0,\theta_0)$ whose $H^s(\mathbb{R}^d)$ norm can be arbitrarily large, we obtain the global smooth solution of d-dimensional tropical climate model.

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Xia Chen, Baoquan Yuan, Ying Zhang. 2021-10-15. Global large solution for the tropical climate model with diffusion. https://arxiv.org/abs/2110.07852

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