Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 589697, 9 pages
doi:10.1155/2010/589697
Research Article

A Regularity Criterion for the Nematic Liquid Crystal Flows

Yong Zhou1 and Jishan Fan2,3

1Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China
2Department of Applied Mathematics, Nanjing Forestry University, Nanjing, Jiangsu 210037, China
3Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

Received 25 September 2009; Accepted 16 April 2010

Academic Editor: Michel C. Chipot

Copyright © 2010 Yong Zhou and Jishan Fan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A logarithmically improved regularity criterion for the 3D nematic liquid crystal flows is established.