Global existence of the finite energy weak solutions to a nematic liquid crystals model

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	Global existence of the finite energy weak solutions to a nematic liquid crystals model
	Xu, Jiankai ; Tan, Zhong ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1002/mma.1411
	2011-05-30
关键词	FLOW
英文摘要	NSF of China [10531020]; In this paper, we are concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. For a bounded domain in R(3), under the assumption that initial density belongs to L(gamma)(Omega), gamma>3/2, we show the global existence of weak solutions to the nematic liquid crystals model with a penalized system. Furthermore, we also obtain the energy inequality for weak solutions. Copyright (C) 2011 John Wiley & Sons, Ltd.
语种	英语
出版者	MATH METHOD APPL SCI
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91056]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Xu, Jiankai,Tan, Zhong,Tan Z. Global existence of the finite energy weak solutions to a nematic liquid crystals model[J]. http://dx.doi.org/10.1002/mma.1411,2011.
APA	Xu, Jiankai,Tan, Zhong,&谭忠.(2011).Global existence of the finite energy weak solutions to a nematic liquid crystals model.http://dx.doi.org/10.1002/mma.1411.
MLA	Xu, Jiankai,et al."Global existence of the finite energy weak solutions to a nematic liquid crystals model".http://dx.doi.org/10.1002/mma.1411 (2011).