Global Regularity of 2D Leray-Alpha Regularized Tropical Climate Models

Authors

  • Ying Zhang School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
  • Baoquan Yuan College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454000, Henan, China

DOI:

https://doi.org/10.4208/jpde.v33.n3.2

Keywords:

Tropical climate model, Leray-alpha model, global regularity.

Abstract

In this paper, we establish the global regularity of 2D leray-alpha regularized tropical climate models. The global strong solution to the system with a half Laplacian of the first baroclinic model of velocity $(\Lambda v)$ and thermal diffusion $(-\Delta\theta)$ or with only the dissipation of the barotropic mode $(-\Delta u)$ are obtained.

Published

2020-06-23

Issue

Section

Articles