Global Well-Posedness for the 3D Tropical Climate Model without Thermal Diffusion

Abstract

. In this paper, we consider the Cauchy problem of 3D tropical climate model with zero thermal diffusion. Firstly, we establish the global regularity for this system with fractional diffusion α = β = 5/4. Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.