A representation formula of incompressible liquid crystal flow and its applications

doi:10.1088/1361-6544/aa63a5

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	A representation formula of incompressible liquid crystal flow and its applications
	Huang, Xiangdi
	2017-05-01
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	30 期号:5 页码:9
摘要	In this paper, we give a representation formula for the solutions of incompressible liquid crystal flow in arbitrary dimensions. As a direct application, one can obtain a strong global solution in two dimensions, as long as the image of the initial orientation field of the liquid crystal lies in a plane, or is a nontrivial curve on the unit sphere. The results also hold for inhomogeneous incompressible liquid crystals.
关键词	global existence liquid crystals strong solution
DOI	10.1088/1361-6544/aa63a5
语种	英语
资助项目	Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] ; National Natural Science Foundation of China[11471321] ; National Natural Science Foundation of China[11671412] ; National Natural Science Foundation of China[11371064]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000398308100002
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25201
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Xiangdi
作者单位	Chinese Acad Sci, AMSS, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Xiangdi. A representation formula of incompressible liquid crystal flow and its applications[J]. NONLINEARITY,2017,30(5):9.
APA	Huang, Xiangdi.(2017).A representation formula of incompressible liquid crystal flow and its applications.NONLINEARITY,30(5),9.
MLA	Huang, Xiangdi."A representation formula of incompressible liquid crystal flow and its applications".NONLINEARITY 30.5(2017):9.