Logarithmically improved regularity criterion for the 3D micropolar fluid equations
type: Item
instance of: scholarly article
title: Logarithmically improved regularity criterion for the 3D micropolar fluid equations
zbMATH Open document ID: 1390.35040
DOI: 10.1155/2014/386269
author: Hui Zhang
published in: International Journal of Analysis
publication date: 2018-06-11T00:00:00Z
review text: Summary: We study the regularity of weak solutions to the incompressible micropolar fluid equations. We obtain an improved regularity criterion in terms of vorticity of velocity in Besov space. It is proved that if the vorticity field satisfies \(\int^T_0(\|\nabla\times u\|_{\dot B{}^0_{\infty,\infty}}/\sqrt{1+\log(1+\|\nabla\times u\|_{\dot B{}^0_{\infty,\infty}}))}dt<\infty\) then the strong solution can be smoothly extended after time \(T\).
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 6883048
zbMATH Keywords: regularity of weak solution
zbMATH Keywords: incompressible micropolar fluid equations
zbMATH Keywords: vorticity
zbMATH Keywords: velocity in Besov space
Wikidata QID: Q59041362
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/386269
OpenAlex ID: W1992654621
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description: scientific article; zbMATH DE number 6883048