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

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

Year:    2022

Author:    Yanghai Yu, Jinlu Li, Xiuwei Yin

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 4 : pp. 344–359

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 $\alpha=\beta=5/4.$ Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v35.n4.4

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 4 : pp. 344–359

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Tropical climate model zero thermal diffusion global well-posedness.

Author Details

Yanghai Yu

Jinlu Li

Xiuwei Yin