On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain

doi:10.1016/j.jde.2008.09.003

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	On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain
	He, Cheng 1; Miyakawa, Tetsuro 2
	2009-03-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	246 期号:6 页码:2355-2386
摘要	We study the time-decay of weighted norms of weak and strong solutions to the Navier-Stokes equations in a 3D exterior domain. Moment estimates for weak solutions and weighted L(q)-estimates for strong solutions are deduced, both of which seem to be optimal. The relation is discussed between the space-time decay and the vanishing of the total net force exerted by the fluid to the body. A class of initial data is given so that the total net force associated to the corresponding fluid flows does not vanish. (C) 2008 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes equations Exterior problem Weighted estimates Total net force
DOI	10.1016/j.jde.2008.09.003
语种	英语
资助项目	National Natural Science Foundation[10431060] ; 973 Key Project[2006CI3805902] ; Innovative Foundation of CAS, People's Republic of China ; MIYAKAWA[18450046] ; Japan Society for the Promotion of Science[17654038]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000264013600008
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8373
专题	中国科学院数学与系统科学研究院
通讯作者	He, Cheng
作者单位	1.Chinese Acad Sci, Inst Appl Math Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Kanazawa Univ, Div Math & Phys, Kanazawa, Ishikawa 9201192, Japan
推荐引用方式 GB/T 7714	He, Cheng,Miyakawa, Tetsuro. On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(6):2355-2386.
APA	He, Cheng,&Miyakawa, Tetsuro.(2009).On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain.JOURNAL OF DIFFERENTIAL EQUATIONS,246(6),2355-2386.
MLA	He, Cheng,et al."On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain".JOURNAL OF DIFFERENTIAL EQUATIONS 246.6(2009):2355-2386.