Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2020; 57(4): 891-907

Online first article October 16, 2019      Printed July 31, 2020

https://doi.org/10.4134/BKMS.b190570

Copyright © The Korean Mathematical Society.

On well-posedness and blow-up criterion for the 2D tropical climate model

Mulan Zhou

Anhui Normal University

Abstract

In this paper, we consider the Cauchy problem to the tropical climate model. We establish the global regularity for the 2D tropical climate model with generalized nonlocal dissipation of the barotropic mode and obtain a multi-logarithmical vorticity blow-up criterion for the 2D tropical climate model without any dissipation of the barotropic mode.

Keywords: Tropical climate model, global regularity, blow-up criterion

MSC numbers: Primary 35D35, 76D03

Supported by: The work is supported by Natural Science Foundation of Anhui Province (No.1908085 QA05)