Decay results of solutions to the incompressible Navier-Stokes flows in a half space

doi:10.1016/j.jde.2010.11.018

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	Decay results of solutions to the incompressible Navier-Stokes flows in a half space
	Han, Pigong
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2011-05-15
卷号	250 期号:10 页码:3937-3959
关键词	Navier-Stokes flows Strong solution Decay rate Half space
ISSN号	0022-0396
DOI	10.1016/j.jde.2010.11.018
英文摘要	In a half space, we consider the asymptotic behavior of the strong solution for the non-stationary Navier-Stokes equations. In particular, the decay rates of the second order derivatives of the Navier-Stokes flows in L(r)(R(+)(n)) (n >= 2) with 1 <= r <= infinity are derived by using L(q) - L(r) estimates and a clever analysis on the fractional powers of the Stokes operator. In addition, we prove that the strong solution and its first and second derivatives decay in time more rapidly than observed in general if the initial datum lies in a suitable weighted space. (C) 2010 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000288307900007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11866]
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. Decay results of solutions to the incompressible Navier-Stokes flows in a half space[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,250(10):3937-3959.
APA	Han, Pigong.(2011).Decay results of solutions to the incompressible Navier-Stokes flows in a half space.JOURNAL OF DIFFERENTIAL EQUATIONS,250(10),3937-3959.
MLA	Han, Pigong."Decay results of solutions to the incompressible Navier-Stokes flows in a half space".JOURNAL OF DIFFERENTIAL EQUATIONS 250.10(2011):3937-3959.