Global Large Solution for the Tropical Climate Model Without Thermal Diffusion

Abstract

In this paper, we consider the Cauchy problem of dd-dimensional (d=2,3) tropical climate model without thermal diffusion and construct global smooth solutions by choosing a class of special initial data $\left(u_{0}, v_{0}, \theta_{0}\right)$ whose L² norm can be arbitrarily large, and improve the previous results in [1,2].

Keywords

Tropical climate model / zero thermal diffusion / global large solution / Sobolev spaces