September  2009, 25(3): 859-867. doi: 10.3934/dcds.2009.25.859

Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

1. 

Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037

2. 

Department of Applied Physics, Waseda University, Tokyo, 169-8555

Received  June 2008 Revised  April 2009 Published  August 2009

We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.
Citation: Jishan Fan, Tohru Ozawa. Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals. Discrete & Continuous Dynamical Systems - A, 2009, 25 (3) : 859-867. doi: 10.3934/dcds.2009.25.859
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