Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity
We study the regularity criterion for the 3D nematic liquid crystal flows in the framework of anisotropic Lebesgue space. More precisely, we proved some sufficient conditions in terms of velocity or the fractional derivative of velocity in one direction.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/234809 |
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doaj-1927b576180042f6a86578b803806fc42020-11-25T00:57:14ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/234809234809Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of VelocityRuiying Wei0Zheng-an Yao1Yin Li2Department of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaWe study the regularity criterion for the 3D nematic liquid crystal flows in the framework of anisotropic Lebesgue space. More precisely, we proved some sufficient conditions in terms of velocity or the fractional derivative of velocity in one direction.http://dx.doi.org/10.1155/2014/234809 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ruiying Wei Zheng-an Yao Yin Li |
| spellingShingle |
Ruiying Wei Zheng-an Yao Yin Li Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity Abstract and Applied Analysis |
| author_facet |
Ruiying Wei Zheng-an Yao Yin Li |
| author_sort |
Ruiying Wei |
| title |
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity |
| title_short |
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity |
| title_full |
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity |
| title_fullStr |
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity |
| title_full_unstemmed |
Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity |
| title_sort |
regularity criterion for the nematic liquid crystal flows in terms of velocity |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
We study the regularity criterion for the 3D nematic liquid crystal flows in the framework of anisotropic Lebesgue space. More precisely, we proved some sufficient conditions in terms of velocity or the fractional derivative of velocity in one direction. |
| url |
http://dx.doi.org/10.1155/2014/234809 |
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AT ruiyingwei regularitycriterionforthenematicliquidcrystalflowsintermsofvelocity AT zhenganyao regularitycriterionforthenematicliquidcrystalflowsintermsofvelocity AT yinli regularitycriterionforthenematicliquidcrystalflowsintermsofvelocity |
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1725225103958999040 |