Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations

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dc.creatorYuan, Jia
dc.date2007-06-15
dc.date.accessioned2026-07-07T10:12:47Z
dc.date.available2026-07-07T10:12:47Z
dc.descriptionIn this paper we study the magneto-micropolar fluid equations in $\R^3$, prove the existence of the strong solution with initial data in $H^s(\R^3)$ for $s> {3/2}$, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda type blow-up criterion for smooth solution $(u,ω,b)$ which relies on the vorticity of velocity $\nabla\times u$ only.
dc.description19pages
dc.identifierhttps://arxiv.org/abs/0706.2291
dc.identifierhttp://arxiv.org/abs/0706.2291
dc.identifierMathematical Methods in the Applied Sciences, Vol.31, 9(2008)1113-1130
dc.identifierdoi:10.1002/mma.967
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172304
dc.subjectAnalysis of PDEs
dc.subject76W05; 35B65
dc.titleExistence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations
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