Large time behavior for the nonstationary Navier-Stokes flows in the half-space

doi:10.1016/j.aim.2015.10.010

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	Large time behavior for the nonstationary Navier-Stokes flows in the half-space
	Han, Pigong
	2016-01-22
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	288 页码:1-58
摘要	Asymptotic behavior of higher-order spatial derivatives in L-r is established for incompressible Navier-Stokes flows in the half-space, which is a long-time unsolved problem. The main tools employed for solving this problem are the nonstationary Stokes solution formula, and the a priori estimates of the steady Stokes system in the half-space. Another main result is devoted to studying time L-1-decay, and a partial answer to this open problem is given by means of a crucial and new estimate for the Stokes flow. Two Theorems 1.1, 1.2 in this article can be regarded as a great improvement and powerful extension of the work in [6,38]. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Navier-Stokes flow Stokes system Solution formula Strong solution Half-space
DOI	10.1016/j.aim.2015.10.010
语种	英语
资助项目	NSFC[11471322]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000368468300001
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/21825
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. Large time behavior for the nonstationary Navier-Stokes flows in the half-space[J]. ADVANCES IN MATHEMATICS,2016,288:1-58.
APA	Han, Pigong.(2016).Large time behavior for the nonstationary Navier-Stokes flows in the half-space.ADVANCES IN MATHEMATICS,288,1-58.
MLA	Han, Pigong."Large time behavior for the nonstationary Navier-Stokes flows in the half-space".ADVANCES IN MATHEMATICS 288(2016):1-58.