A new regularity criterion for the nematic liquid crystal flows

Abstract

In this article, we establish the Serrin-type regularity criteria for the 3D nematic liquid crystal flows in the terms of the multiplier space . Our criterion may be regarded as an extension of the recent result of Liu–Cui [Regularity of solutions to 3-D nematic liquid crystal flows, Electron. J. Diff. Equ. 2010(173) (2010), pp. 1–5].

Keywords:

• regularity criterion
• liquid crystal
• multiplier spaces

AMS Subject Classifications:

• 35Q35
• 76D03

Acknowledgements

The authors would like to thank the referee for valuable comments.