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

doi:10.1016/j.jde.2016.08.044

	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
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2016-12-05
卷号	261 期号:11 页码:6521-6569
关键词	Nonhomogeneous incompressible nematic liquid crystal flow Strong solutions Vacuum Temporal decay
ISSN号	0022-0396
DOI	10.1016/j.jde.2016.08.044
英文摘要	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.
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
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000385911600019
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23738]
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.