A Logarithmical Blow-up Criterion for the 3D Nematic Liquid Crystal Flows

被引：2

作者：

Liu, Qiao ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Nematic liquid crystal flows; Navier-Stokes equations; Blow-up criterion; IMPROVED REGULARITY CRITERIA; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; WELL-POSEDNESS; HARMONIC MAPS; HEAT-FLOW; PRESSURE; TERMS;

D O I：

10.1007/s40840-015-0217-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the Cauchy problem for the 3D incompressible nematic liquid crystal flows is investigated. A new logarithmically improved blow-up criterion for the local in time smooth solution to the 3D incompressible nematic liquid crystal flows in an appropriate homogeneous Besov space is established.

引用

页码：29 / 47

页数：19

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