Global weak solutions to a general liquid crystals system

Yuming Chu; Yihang Hao; Xiangao Liu

doi:10.3934/dcds.2013.33.2681

Article Contents

2013, Volume 33, Issue 7: 2681-2710. Doi: 10.3934/dcds.2013.33.2681

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Global weak solutions to a general liquid crystals system

1.
Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou
2.
School of Mathematical Sciences, Fudan University, Shanghai

Received: December 31, 2011

Revised: October 31, 2012

Published: June 2013

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Abstract

We prove the global existence of finite energy weak solutions to the general liquid crystals system. The problem is studied in bounded domain of $\mathbb{R}^3$ with Dirichlet boundary conditions and the whole space $\mathbb{R}^3$.

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

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