A new regularity criterion for the nematic liquid crystal flows

被引:78
作者
Gala, Sadek [1 ]
Liu, Qiao [2 ]
Ragusa, Maria Alessandra [3 ]
机构
[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[3] Univ Catania, Dipartimento Math & Informat, I-95125 Catania, Italy
关键词
regularity criterion; liquid crystal; multiplier spaces; MULTIPLIERS; EQUATIONS; SPACES;
D O I
10.1080/00036811.2011.581233
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we establish the Serrin-type regularity criteria for the 3D nematic liquid crystal flows in the terms of the multiplier space X-r(R-3). Our criterion may be regarded as an extension of the recent result of Liu-Cui [Regularity of solutions to 3-D nematic liquid crystal flows, Electron. J. Diff. Equ. 2010(173) (2010), pp. 1-5].
引用
收藏
页码:1741 / 1747
页数:7
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