Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components | |
da Veiga HB; Yang JQ(杨佳琦) | |
发表期刊 | ADVANCES IN NONLINEAR ANALYSIS |
2019-03-01 | |
卷号 | 9期号:1页码:633-643 |
ISSN | 2191-9496 |
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. |
关键词 | Navier-Stokes equations Slip boundary conditions No flat boundaries Two components regularity criterium |
DOI | 10.1515/anona-2020-0017 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000476653300001 |
关键词[WOS] | WEAK SOLUTIONS ; INTERIOR REGULARITY |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
资助项目 | FCT (Portugal)[UID/MAT/04561/2019] |
项目资助者 | FCT (Portugal) |
论文分区 | 一类 |
力学所作者排名 | 2 |
RpAuthor | da Veiga, Hugo Beirao |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/79479 |
专题 | 流固耦合系统力学重点实验室 |
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. |
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Jp2020502.pdf(421KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 请求全文 |
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