中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces

文献类型:期刊论文

作者Han, Pigong
刊名JOURNAL OF MATHEMATICAL FLUID MECHANICS
出版日期2015-12-01
卷号17期号:4页码:599-626
关键词Navier-Stokes equations Stokes solution formula large-time behavior strong solution
ISSN号1422-6928
DOI10.1007/s00021-015-0209-6
英文摘要The weighted L-q - L-q (q = 1,infinity) estimates for the Stokes flow are given in half spaces. Further large-time weighted decays for the second spatial derivatives of the Navier-Stokes equations are established, where the unboundedness of the projection operator P : L-q(R-+(n)) -> L-sigma(q) (R-+(n)) (q = 1,infinity) is overcome by employing a decomposition for the convection term. The main results in this article are motivated by the work in Bae (J Differ Equ 222:1-20, 2006; J Math Fluid Mech 10:503-530, 2008) and Bae and Jin (Proc R Soc Edinb Sect A 135:461-477, 2005).
语种英语
WOS记录号WOS:000363058600001
出版者SPRINGER BASEL AG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21035]  
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. Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2015,17(4):599-626.
APA Han, Pigong.(2015).Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces.JOURNAL OF MATHEMATICAL FLUID MECHANICS,17(4),599-626.
MLA Han, Pigong."Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces".JOURNAL OF MATHEMATICAL FLUID MECHANICS 17.4(2015):599-626.

入库方式: OAI收割

来源:数学与系统科学研究院

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