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

Yi-hang Hao; Xian-Gao Liu

doi:10.3934/cpaa.2014.13.225

Article Contents

2014, Volume 13, Issue 1: 225-236. Doi: 10.3934/cpaa.2014.13.225

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

Yi-hang Hao^1, and
Xian-Gao Liu^2,

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

Received: December 2012

Revised: April 2013

Published: January 2014

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Abstract

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.

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Mathematics Subject Classification: 76N10, 35Q35, 35Q30.

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References

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