Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction

doi:10.1007/s11425-018-9504-1

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	Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction
	Paicu, Marius 2; Zhang, Ping1,3,4
刊名	SCIENCE CHINA-MATHEMATICS
	2019-06-01
卷号	62 期号:6 页码:1175-1204
关键词	anisotropic Navier-Stokes equations Littlewood-Paley theory well-posedness 35Q30 76D03
ISSN号	1674-7283
DOI	10.1007/s11425-018-9504-1
英文摘要	We 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.
资助项目	Agence 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研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000468372200009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34685]
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 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.