A logarithmically improved blow-up criterion of smooth solutions for nematic liquid crystal flows with partial viscosity

被引：1

作者：

Wang, Yin-Xia ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China

来源：

SCIENCEASIA | 2013年 / 39卷 / 01期

关键词：

BMO space; energy estimate; NAVIER-STOKES EQUATIONS; IMPROVED REGULARITY CRITERIA;

D O I：

10.2306/scienceasia1513-1874.2013.39.073

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we investigate the Cauchy problem for nematic liquid crystal flows with partial viscosity in R-3. A logarithmically improved blow-up criterion of smooth solutions is established. The result is analogous to the celebrated Beale-Kato-Majda type criterion for the inviscid Euler equations of incompressible fluids.

引用

页码：73 / 78

页数：6

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