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
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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 |
DOI | 10.1515/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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