Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain

doi:10.1016/j.jfa.2015.11.005

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	Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain
	Han, Pigong
	2016-02-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	270 期号:3 页码:1091-1152
摘要	There are several long standing problems on the incompressible Navier-Stokes flows in 2D exterior domains, which claim how to characterize L-1-summability of the 2D N-S flows; whether the total net force exerted on the boundary is finite; and how to establish decay results of higher-order spatial derivatives, including the weighted cases. In order to solve these questions, we firstly find some types of new technical inequalities, which are used to overcome the difficulties caused by the domain boundary; using L-q - L-r properties for non-stationary Stokes flows, together with elliptic estimates for the steady Stokes system, we can avoid the strong singularity and answer these mentioned problems completely. It should be pointed out that main results in this article are motivated by the works in [5,37], respectively. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Steady Stokes system Navier-Stokes flow Exterior domain
DOI	10.1016/j.jfa.2015.11.005
语种	英语
资助项目	NSFC[11471322] ; Key Laboratory of RCSDS, CAS[2008DP173182]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000368315800008
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/21732
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. Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2016,270(3):1091-1152.
APA	Han, Pigong.(2016).Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain.JOURNAL OF FUNCTIONAL ANALYSIS,270(3),1091-1152.
MLA	Han, Pigong."Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain".JOURNAL OF FUNCTIONAL ANALYSIS 270.3(2016):1091-1152.