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Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction
Paicu, Marius1; Zhang, Ping2,3,4
2019-06-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume62Issue:6Pages:1175-1204
AbstractWe consider three-dimensional incompressible Navier-Stokes equations (NS) with different viscous coefficients in the vertical and horizontal variables. In particular, when one of these viscous coefficients is large enough compared with the initial data, we prove the global well-posedness of this system. In fact, we obtain the existence of a global strong solution to (NS) when the initial data verifies an anisotropic smallness condition which takes into account the different roles of the horizontal and vertical viscosity.
Keywordanisotropic Navier-Stokes equations Littlewood-Paley theory well-posedness 35Q30 76D03
DOI10.1007/s11425-018-9504-1
Language英语
Funding ProjectAgence Nationale de la Recherche, Project IFS-MACS[ANR-15-CE40-0010] ; National Natural Science Foundation of China[11371347] ; National Natural Science Foundation of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; Innovation Grant from National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000468372200009
PublisherSCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34686
Collection数学所
Corresponding AuthorZhang, Ping
Affiliation1.Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France
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
Paicu, Marius,Zhang, Ping. Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction[J]. SCIENCE CHINA-MATHEMATICS,2019,62(6):1175-1204.
APA Paicu, Marius,&Zhang, Ping.(2019).Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction.SCIENCE CHINA-MATHEMATICS,62(6),1175-1204.
MLA Paicu, Marius,et al."Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction".SCIENCE CHINA-MATHEMATICS 62.6(2019):1175-1204.
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