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Large time behavior for the nonstationary Navier-Stokes flows in the half-space
Han, Pigong
2016-01-22
Source PublicationADVANCES IN MATHEMATICS
ISSN0001-8708
Volume288Pages:1-58
AbstractAsymptotic 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.
KeywordNavier-Stokes flow Stokes system Solution formula Strong solution Half-space
DOI10.1016/j.aim.2015.10.010
Language英语
Funding ProjectNSFC[11471322]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000368468300001
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21825
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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