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On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
Liu, Yanlin1,2; Zhang, Ping2,3,4
2018-02-01
Source PublicationCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN0944-2669
Volume57Issue:1Pages:31
AbstractIn 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.
DOI10.1007/s00526-017-1288-4
Language英语
Funding ProjectNSF of China[11371347] ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000424746800017
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29582
Collection数学所
Affiliation1.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
Recommended Citation
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.
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