Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces

doi:10.1007/s00021-015-0209-6

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	Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces
	Han, Pigong
	2015-12-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	17 期号:4 页码:599-626
摘要	The weighted L-q - L-q (q = 1,infinity) estimates for the Stokes flow are given in half spaces. Further large-time weighted decays for the second spatial derivatives of the Navier-Stokes equations are established, where the unboundedness of the projection operator P : L-q(R-+(n)) -> L-sigma(q) (R-+(n)) (q = 1,infinity) is overcome by employing a decomposition for the convection term. The main results in this article are motivated by the work in Bae (J Differ Equ 222:1-20, 2006; J Math Fluid Mech 10:503-530, 2008) and Bae and Jin (Proc R Soc Edinb Sect A 135:461-477, 2005).
关键词	Navier-Stokes equations Stokes solution formula large-time behavior strong solution
DOI	10.1007/s00021-015-0209-6
语种	英语
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000363058600001
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21036
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. Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2015,17(4):599-626.
APA	Han, Pigong.(2015).Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces.JOURNAL OF MATHEMATICAL FLUID MECHANICS,17(4),599-626.
MLA	Han, Pigong."Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces".JOURNAL OF MATHEMATICAL FLUID MECHANICS 17.4(2015):599-626.