Global large solution for the tropical climate model with diffusion

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.

12 pages