On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component

doi:10.1007/s00526-017-1288-4

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	On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
	Liu, Yanlin 1,2; Zhang, Ping2,3,4
	2018-02-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	57 期号:1 页码:31
摘要	In this paper, we prove the local well-posedness of 3-D axi-symmetric Navier-Stokes system with initial data in the critical Lebesgue spaces. We also obtain the global well-posedness result with small initial data. Furthermore, with the initial swirl component of the velocity being sufficiently small in the almost critical spaces, we can still prove the global well-posedness of the system.
DOI	10.1007/s00526-017-1288-4
语种	英语
资助项目	NSF of China[11371347] ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000424746800017
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29582
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Univ Sci & Technol China, Dept Math Sci, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, 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. On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2018,57(1):31.
APA	Liu, Yanlin,&Zhang, Ping.(2018).On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,57(1),31.
MLA	Liu, Yanlin,et al."On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 57.1(2018):31.