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Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain
Han, Pigong
2016-02-01
Source PublicationJOURNAL OF FUNCTIONAL ANALYSIS
ISSN0022-1236
Volume270Issue:3Pages:1091-1152
AbstractThere 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.
KeywordSteady Stokes system Navier-Stokes flow Exterior domain
DOI10.1016/j.jfa.2015.11.005
Language英语
Funding ProjectNSFC[11471322] ; Key Laboratory of RCSDS, CAS[2008DP173182]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000368315800008
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21732
Collection应用数学研究所
Corresponding AuthorHan, Pigong
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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