On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations

doi:10.1007/s00021-018-0360-y

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	On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations
	Han, Pigong1,2
	2018-09-01
发表期刊	JOURNAL OF MATHEMATICAL FLUID MECHANICS
ISSN	1422-6928
卷号	20 期号:3 页码:1155-1172
摘要	Weighted estimates on the Stokes flows are given by means of the Stokes solution formula in the half space, which can be regarded as a complement and improvement on the previous known results. There are two main difficulties: in weighted cases, usual estimates for the Stokes flows do not work any more, and the projection operator becomes unbounded possibly. Finally, as an application, employing these weighted estimates on the Stokes solution, we establish some weighted decay results for the Navier-Stokes flows.
关键词	Stokes flow Solution formula Weighted estimate Strong solution
DOI	10.1007/s00021-018-0360-y
语种	英语
资助项目	NSFC[11471322] ; NSFC-NRF[11611540331] ; Key Laboratory of RCSDS, CAS[2008DP173182] ; Youth Innovation Promotion Association of the Chinese Academy of Sciences
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000441287600013
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/30840
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Han, Pigong. On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2018,20(3):1155-1172.
APA	Han, Pigong.(2018).On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations.JOURNAL OF MATHEMATICAL FLUID MECHANICS,20(3),1155-1172.
MLA	Han, Pigong."On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations".JOURNAL OF MATHEMATICAL FLUID MECHANICS 20.3(2018):1155-1172.