LPS’S CRITERION FOR INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

被引：0

作者：

陈卿

谭忠

吴国春

机构：

[1] Department of Mathematics and Physics,Xiamen University of Technology

[2] School of Mathematical Sciences,Xiamen University

来源：

Acta Mathematica Scientia | 2014年 / 04期

基金：

中国国家自然科学基金;

关键词：

incompressible nematic liquid crystal flow; Ladyzhenskaya-Prodi-Serrin’s criterion;

D O I：

暂无

中图分类号：

O753.2 [];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

In this paper we derive LPS’s criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in R3. We show that if0 < T < +∞ is the maximal time interval for the unique smooth solution u ∈ C∞([0, T), R3),then |u| + |▽d| /∈ Lq([0, T ], Lp(R3)), where p and q safisfy the Ladyzhenskaya-Prodi-Serrin’s condition:3p+2q= 1 and p ∈(3, +∞].

引用

页码：1072 / 1080

页数：9