Qiao Liu, Shangbin Cui
Abstract:
In this note we consider the regularity of solutions to 3-D
nematic liquid crystal flows, we prove that if either
,
,
;
or
,
,
, then the solution
is regular on
.
Submitted November 4, 2010. Published December 6, 2010.
Math Subject Classifications: 76A15, 35B65, 35Q35.
Key Words: Liquid crystal flow; initial value problem;
regularity of solutions.
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Qiao Liu Department of Mathematics, Sun Yat-sen University Guangzhou, Guangdong 510275, China email: liuqao2005@lzu.cn, liuqao2005@163.com | |
Shangbin Cui Department of Mathematics, Sun Yat-sen University Guangzhou, Guangdong 510275, China email: cuisb3@yahoo.com.cn |
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