Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces

doi:10.1016/j.jde.2010.05.021

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	Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces
	Han, Pigong1,2
	2010-10-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	249 期号:8 页码:1817-1852
摘要	Using the solution formula in Ukai (1987)[27] for the Stokes equations, we find asymptotic profiles of solutions in L(1) (R(+)(n)) (n >= 2) for the Stokes flow and non-stationary Navier-Stokes equations. Since the projection operator P: L(1) (R(+)(n)) --> L(sigma)(1)(R(+)(n)) is unbounded, we use a decomposition for P(u . del u) to overcome the difficulty, and prove that the decay rate for the first derivatives of the strong solution u of the Navier-Stokes system in L(1) (R(+)(n)) is controlled by t(-1/2)(1 + t(-n+2/n)) for any t > 0. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes equations Weak and strong solutions Asymptotic behavior Solution formula
DOI	10.1016/j.jde.2010.05.021
语种	英语
资助项目	National Natural Science Foundation, China[10631030]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000281924000003
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/9487
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2010,249(8):1817-1852.
APA	Han, Pigong.(2010).Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces.JOURNAL OF DIFFERENTIAL EQUATIONS,249(8),1817-1852.
MLA	Han, Pigong."Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces".JOURNAL OF DIFFERENTIAL EQUATIONS 249.8(2010):1817-1852.