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Decay properties for the incompressible Navier-Stokes flows in a half space

文献类型：期刊论文

作者Han, Pigong1,2
刊名PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
出版日期2021-10-11
页码24
关键词Navier-Stokes flow Stokes operator half space
ISSN号0308-2105
DOI10.1017/prm.2021.63
英文摘要In this article, we give a comprehensive characterization of L-1-summability for the Navier-Stokes flows in the half space, which is a long-standing problem. The main difficulties are that L-q - L-r estimates for the Stokes flow don't work in this end-point case: q = r = 1; the projection operator P : L-1 -> L-sigma(1) is not bounded any more; useful information on the pressure function is missing, which arises in the net force exerted by the fluid on the noncompact boundary. In order to achieve our aims, by making full use of the special structure of the half space, we decompose the pressure function into two parts. Then the knotty problem of handling the pressure term can be transformed into establishing a crucial and new weighted L-1-estimate, which plays a fundamental role. In addition, we overcome the unboundedness of the projection P by solving an elliptic problem with homogeneous Neumann boundary condition.
资助项目National Natural Science Foundation of China[11871457] ; K. C. Wong Education Foundation ; Chinese Academy of Sciences ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000785651700001
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60325]  
专题应用数学研究所
通讯作者Han, Pigong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Han, Pigong. Decay properties for the incompressible Navier-Stokes flows in a half space[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2021:24.
APA Han, Pigong.(2021).Decay properties for the incompressible Navier-Stokes flows in a half space.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,24.
MLA Han, Pigong."Decay properties for the incompressible Navier-Stokes flows in a half space".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2021):24.

入库方式： OAI收割

来源：数学与系统科学研究院

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