# American Institute of Mathematical Sciences

January  2014, 13(1): 225-236. doi: 10.3934/cpaa.2014.13.225

## The existence and blow-up criterion of liquid crystals system in critical Besov space

 1 Institute of Mathematics, Hangzhou Dianzi University, Zhejiang, Hangzhou, 310018, China 2 Institute of Mathematics, Fudan University, Shanghai

Received  December 2012 Revised  April 2013 Published  July 2013

We consider the existence of strong solution to liquid crystals system in critical Besov space, and give a criterion which is similar to Serrin's criterion on regularity of weak solution to Navier-Stokes equations.
Citation: Yi-hang Hao, Xian-Gao Liu. The existence and blow-up criterion of liquid crystals system in critical Besov space. Communications on Pure & Applied Analysis, 2014, 13 (1) : 225-236. doi: 10.3934/cpaa.2014.13.225
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