Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative

doi:10.1007/s00205-019-01447-9

CSpace

	Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative
	Liu, Yanlin 1,2; Zhang, Ping 1,2,3
	2020-02-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	235 期号:2 页码:1405-1444
摘要	Given initial data uo =, 3E (R 3)11 /32j (R-) with uo belonging to L2(R3) rl LcnRv; H-6 (R12,)) f 1.'(1'4; H3(kt2i)) for some 6 1[, if in addition ihuo belongs to the homogeneous anisotropic Sobolev space, H40, we prove that the classical 3-D Navier Stokes system has a unique global Fujita Kato solution provided that the H-7"0 norm of a3uo is sufficiently small compared to exp CIA6(uld) + B6(u0))) with A6(4) and Bs(u0) being scaling invariant quantities of the initial data, which is scaling invariant with respect to the variable x3. This result provides some classes of large initial data which are large in Besov space and which generate unique global solutions to the 3-D Navier Stokes system. In particular, we extend the previous results in [5,7,10] for initial data with a slow variable to multi -scales slow variable initial data.
DOI	10.1007/s00205-019-01447-9
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 ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000522346000015
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51047
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yanlin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 3.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 Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2020,235(2):1405-1444.
APA	Liu, Yanlin,&Zhang, Ping.(2020).Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,235(2),1405-1444.
MLA	Liu, Yanlin,et al."Global Solutions of 3-D Navier-Stokes System with Small Unidirectional Derivative".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 235.2(2020):1405-1444.