Global well-posedness and large time decay for the d-dimensional tropical climate model

AIMS Mathematics

Zhaoxia Li¹  Haifeng Shang¹  Lihua Deng¹ 

[1] School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, China;

关键词: d-dimensional (dd) tropical climate model;    global well-posedness;    temporal decay;   

DOI  :  10.3934/math.2021330

来源: DOAJ

【 摘 要 】

This paper investigates the Cauchy problem on the d-dimensional tropical climate model with fractional hyperviscosity. We establish the small data global well-posedness of solutions to this model with supercritical dissipation. Furthermore, we study the asymptotic stability of these global solutions and obtain the optimal decay rates by using energy method and the method of bootstrapping argument.

【 授权许可】

Unknown