Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows

doi:10.1016/j.jde.2016.08.044

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	Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
	Liu, Qiao 1,2; Liu, Shengquan 2; Tan, Wenke 1,3; Zhong, Xin 3
	2016-12-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	261 期号:11 页码:6521-6569
摘要	This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space R-2 with vacuum as far field density. It is proved that the 2D nonhomogeneous incompressible nematic liquid crystal flows admit a unique global strong solution provided that the initial data density and the gradient of orientation decay not too slow at infinity, and the initial orientation satisfies a geometric condition (see (1.3)). In particular, the initial data can be arbitrarily large and the initial density may contain vacuum states and even have compact support. Furthermore, the large time behavior of the solution is also obtained. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Nonhomogeneous incompressible nematic liquid crystal flow Strong solutions Vacuum Temporal decay
DOI	10.1016/j.jde.2016.08.044
语种	英语
资助项目	National Science Foundation of China[11401202] ; National Science Foundation of China[11526152] ; National Science Foundation of China[11301244] ; Scientific Research Fund of Hunan Provincial Education Department[14B117] ; China Postdoctoral Science Foundation[2015M570053] ; China Postdoctoral Science Foundation[2016T90063]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000385911600019
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23739
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Qiao
作者单位	1.Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Qiao,Liu, Shengquan,Tan, Wenke,et al. Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(11):6521-6569.
APA	Liu, Qiao,Liu, Shengquan,Tan, Wenke,&Zhong, Xin.(2016).Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows.JOURNAL OF DIFFERENTIAL EQUATIONS,261(11),6521-6569.
MLA	Liu, Qiao,et al."Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows".JOURNAL OF DIFFERENTIAL EQUATIONS 261.11(2016):6521-6569.