Global Well-posedness for the 2D Micropolar Rayleigh-Bénard Convection Problem without Velocity Dissipation

In this article, we study the Cauchy problem to the micropolar Rayleigh-Bénard convection problem without velocity dissipation in two dimension. We first prove the local well-posedness of a smooth solution, and then establish a blow up criterion in terms of the gradient of scalar temperature field....

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 37; no. 7; pp. 1053 - 1065
Main Author Wang, Sheng
Format Journal Article
LanguageEnglish
Published Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.07.2021
Springer Nature B.V
Subjects
Cauchy problems
Mathematics
Mathematics and Statistics
Rayleigh-Benard convection
Temperature distribution
Well posed problems
20B25
smooth solution
2D micropolar Rayleigh-Bénard convection problem
blow-up criterion
global well-posedness
05B25
05B05
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Summary:In this article, we study the Cauchy problem to the micropolar Rayleigh-Bénard convection problem without velocity dissipation in two dimension. We first prove the local well-posedness of a smooth solution, and then establish a blow up criterion in terms of the gradient of scalar temperature field. At last, we obtain the global well-posedness to the system.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-021-1040-z