中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

文献类型:期刊论文

作者da Veiga HB; Yang JQ(杨佳琦)
刊名ADVANCES IN NONLINEAR ANALYSIS
出版日期2019-03-01
卷号9期号:1页码:633-643
关键词Navier-Stokes equations Slip boundary conditions No flat boundaries Two components regularity criterium
ISSN号2191-9496
DOI10.1515/anona-2020-0017
英文摘要

H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space R-3 based on two velocity components. Recently, one of the present authors extended this result to the half-space case R-+(3). Further, this author in collaboration with J. Bemelmans and J. Brand extended the result to cylindrical domains under physical slip boundary conditions. In this note we obtain a similar result in the case of smooth arbitrary boundaries, but under a distinct, apparently very similar, slip boundary condition. They coincide just on flat portions of the boundary. Otherwise, a reciprocal reduction between the two results looks not obvious, as shown in the last section below.

分类号一类
WOS关键词WEAK SOLUTIONS ; INTERIOR REGULARITY
资助项目FCT (Portugal)[UID/MAT/04561/2019]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000476653300001
资助机构FCT (Portugal)
其他责任者da Veiga, Hugo Beirao
源URL[http://dspace.imech.ac.cn/handle/311007/79479]  
专题力学研究所_流固耦合系统力学重点实验室(2012-)
推荐引用方式
GB/T 7714
da Veiga HB,Yang JQ. Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components[J]. ADVANCES IN NONLINEAR ANALYSIS,2019,9(1):633-643.
APA da Veiga HB,&Yang JQ.(2019).Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components.ADVANCES IN NONLINEAR ANALYSIS,9(1),633-643.
MLA da Veiga HB,et al."Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components".ADVANCES IN NONLINEAR ANALYSIS 9.1(2019):633-643.

入库方式: OAI收割

来源:力学研究所

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