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

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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Main Authors: Tariq Mahmood, Zhaoyang Shang
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
blow-up criterion
incompressible
liquid crystal equations
besov space
Online Access:https://www.aimspress.com/article/10.3934/math.2020051/fulltext.html
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spelling doaj-97d377257abe435cbcabc1156be2c03a2020-11-25T01:49:24ZengAIMS PressAIMS Mathematics2473-69882020-01-015274676510.3934/math.2020051Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional spaceTariq Mahmood0Zhaoyang Shang11 School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China2 School of Finance, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, P. R. ChinaIn 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.https://www.aimspress.com/article/10.3934/math.2020051/fulltext.htmlblow-up criterionincompressibleliquid crystal equationsbesov space
collection DOAJ
language English
format Article
sources DOAJ
author Tariq Mahmood
Zhaoyang Shang
spellingShingle Tariq Mahmood
Zhaoyang Shang
Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
AIMS Mathematics
blow-up criterion
incompressible
liquid crystal equations
besov space
author_facet Tariq Mahmood
Zhaoyang Shang
author_sort Tariq Mahmood
title Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
title_short Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
title_full Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
title_fullStr Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
title_full_unstemmed Blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
title_sort blow-up criterion for incompressible nematic type liquid crystal equations in three-dimensional space
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-01-01
description 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.
topic blow-up criterion
incompressible
liquid crystal equations
besov space
url https://www.aimspress.com/article/10.3934/math.2020051/fulltext.html
work_keys_str_mv AT tariqmahmood blowupcriterionforincompressiblenematictypeliquidcrystalequationsinthreedimensionalspace
AT zhaoyangshang blowupcriterionforincompressiblenematictypeliquidcrystalequationsinthreedimensionalspace
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