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
	2011-05-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	250 期号:10 页码:3937-3959
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.
关键词	Navier-Stokes flows Strong solution Decay rate Half space
DOI	10.1016/j.jde.2010.11.018
语种	英语
资助项目	Key Laboratory of Random Complex Structures and Data Science, the Chinese Academy of Sciences: National Natural Science Foundation of China[10631030] ; Key Laboratory of Random Complex Structures and Data Science, the Chinese Academy of Sciences: National Natural Science Foundation of China[11071239]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000288307900007
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/11867
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.