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

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

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...

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Bibliographic Details
Main Authors: Zhaoxia Li, Lihua Deng, Haifeng Shang
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
d-dimensional (dd) tropical climate model
global well-posedness
temporal decay
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021330?viewType=HTML
Description
Summary: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.
ISSN:2473-6988

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