On center singularity for compressible spherically symmetric nematic liquid crystal flows

doi:10.1016/j.jde.2017.12.0350022

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	On center singularity for compressible spherically symmetric nematic liquid crystal flows
	Wang, Yun 1; Huang, Xiangdi2
	2018-04-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	264 期号:8 页码:5197-5220
摘要	The paper is concerned with a simplified system, proposed by Ericksen[6] and Leslie[20], modeling the flow of nematic liquid crystals. In the first part, we give a new Serrin's continuation principle for strong solutions of general compressible liquid crystal flows. Based on new observations, we establish a localized Serrin's regularity criterion for the 3D compressible spherically symmetric flows. It is proved that the classical solution loses its regularity in finite time if and only if, either the concentration or vanishing of mass forms or the norm inflammation of gradient of orientation field occurs around the center. (c) 2018 Elsevier Inc. All rights reserved.
关键词	Compressible nematic liquid crystal flows Blowup criterion Spherically symmetric flows
DOI	10.1016/j.jde.2017.12.0350022
语种	英语
资助项目	NSFC[11671289] ; NSFC[11471321] ; NSFC[11688101] ; NSFC[11731007] ; NSFC[11671412] ; Youth Innovation Promotion Association, CAS ; National Center of Mathematics and Interdisciplinary Sciences, CAS ; President Fund of Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000426146600009
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/29555
专题	数学所
通讯作者	Wang, Yun
作者单位	1.Soochow Univ, Dept Math, Suzhou 215006, Peoples R China 2.Chinese Acad Sci, NCMIS, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yun,Huang, Xiangdi. On center singularity for compressible spherically symmetric nematic liquid crystal flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(8):5197-5220.
APA	Wang, Yun,&Huang, Xiangdi.(2018).On center singularity for compressible spherically symmetric nematic liquid crystal flows.JOURNAL OF DIFFERENTIAL EQUATIONS,264(8),5197-5220.
MLA	Wang, Yun,et al."On center singularity for compressible spherically symmetric nematic liquid crystal flows".JOURNAL OF DIFFERENTIAL EQUATIONS 264.8(2018):5197-5220.