Open Access Research

Blow-up criteria for 3D nematic liquid crystal models in a bounded domain

Jishan Fan1, Gen Nakamura2 and Yong Zhou3*

Author Affiliations

1 Department of Applied Mathematics, Nanjing Forestry University, Nanjing, P.R. China

2 Department of Mathematics, Inha University, Incheon, 402-751, Republic of Korea

3 Department of Mathematics, Zhejiang Normal University, Jinhua, P.R. China

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Boundary Value Problems 2013, 2013:176  doi:10.1186/1687-2770-2013-176

Published: 26 July 2013

Abstract

In this paper we prove some blow-up criteria for two 3D density-dependent nematic liquid crystal models in a bounded domain.

MSC: 35Q30, 76D03, 76D09.

Keywords:
liquid crystal; blow-up criterion; bounded domain