Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space

In this paper, we consider two incompressible nematic type liquid crystal models in threedimensional space. Blow-up criterions for weak and smooth solutions are established in homogenous and nonhomogenous Besov space with negative regular index, respectively. As a result, we improve some previous re...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 2; pp. 746 - 765
Main Authors Mahmood, Tariq, Shang, Zhaoyang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
besov space
blow-up criterion
incompressible
liquid crystal equations
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020051

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Summary:In this paper, we consider two incompressible nematic type liquid crystal models in threedimensional space. Blow-up criterions for weak and smooth solutions are established in homogenous and nonhomogenous Besov space with negative regular index, respectively. As a result, we improve some previous results in Besov space.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020051