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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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
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spelling doaj-a6fdac3c89c04479bfbb88bd6acb6aad2021-03-30T00:55:53ZengAIMS PressAIMS Mathematics2473-69882021-03-01665581559510.3934/math.2021330Global well-posedness and large time decay for the d-dimensional tropical climate modelZhaoxia Li0Lihua Deng1Haifeng Shang2School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2021330?viewType=HTMLd-dimensional (dd) tropical climate modelglobal well-posednesstemporal decay
collection DOAJ
language English
format Article
sources DOAJ
author Zhaoxia Li
Lihua Deng
Haifeng Shang
spellingShingle Zhaoxia Li
Lihua Deng
Haifeng Shang
Global well-posedness and large time decay for the d-dimensional tropical climate model
AIMS Mathematics
d-dimensional (dd) tropical climate model
global well-posedness
temporal decay
author_facet Zhaoxia Li
Lihua Deng
Haifeng Shang
author_sort Zhaoxia Li
title Global well-posedness and large time decay for the d-dimensional tropical climate model
title_short Global well-posedness and large time decay for the d-dimensional tropical climate model
title_full Global well-posedness and large time decay for the d-dimensional tropical climate model
title_fullStr Global well-posedness and large time decay for the d-dimensional tropical climate model
title_full_unstemmed Global well-posedness and large time decay for the d-dimensional tropical climate model
title_sort global well-posedness and large time decay for the d-dimensional tropical climate model
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-03-01
description 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.
topic d-dimensional (dd) tropical climate model
global well-posedness
temporal decay
url https://www.aimspress.com/article/doi/10.3934/math.2021330?viewType=HTML
work_keys_str_mv AT zhaoxiali globalwellposednessandlargetimedecayfortheddimensionaltropicalclimatemodel
AT lihuadeng globalwellposednessandlargetimedecayfortheddimensionaltropicalclimatemodel
AT haifengshang globalwellposednessandlargetimedecayfortheddimensionaltropicalclimatemodel
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