Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient

doi:10.1016/j.jfa.2020.108736

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	Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient
	Liu, Yanlin 1; Zhang, Ping2,3,4
	2020-12-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	279 期号:10 页码:33
摘要	In this paper, we first prove the global well-posedness of 3-D anisotropic Navier-Stokes system provided that the vertical viscous coefficient of the system is sufficiently large compared to some critical norm of the initial data. Then we shall construct a family of initial data, u(0,nu) which vary fast enough in the vertical variable and which can be arbitrarily large in the space BMO-1. Yet u(0,nu) still generates a unique global solution to the classical 3-D Navier-Stokes system provided that nu is sufficiently large. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes system Anisotropic Littlewood-Paley theory Well-posedness
DOI	10.1016/j.jfa.2020.108736
收录类别	SCI
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of The Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000564303300008
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/52094
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yanlin,Zhang, Ping. Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,279(10):33.
APA	Liu, Yanlin,&Zhang, Ping.(2020).Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient.JOURNAL OF FUNCTIONAL ANALYSIS,279(10),33.
MLA	Liu, Yanlin,et al."Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient".JOURNAL OF FUNCTIONAL ANALYSIS 279.10(2020):33.