A regularity criterion for a 3D tropical climate model with damping

Abstract

In this paper we deal with the 3D tropical climate model with damping terms in the equation of the barotropic mode $u$ and in the equation of the first baroclinic mode $v$ of the velocity, and we establish a regularity criterion for this system thanks to which the local smooth solution $(u,v,\theta )$ can actually be extended globally in time.

16 pages. Amended version of the article, which has been accepted by J. Math. Anal. Appl