| Title:
|
The effective boundary conditions for vector fields on domains with rough boundaries: Applications to fluid mechanics (English) |
| Author:
|
Feireisl, Eduard |
| Author:
|
Nečasová, Šárka |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
39-49 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillating riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets. (English) |
| Keyword:
|
Navier-Stokes system |
| Keyword:
|
rough boundary |
| Keyword:
|
slip boundary condition |
| MSC:
|
35Q35 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1224.35340 |
| idMR:
|
MR2807425 |
| DOI:
|
10.1007/s10492-011-0008-1 |
| . |
| Date available:
|
2011-01-03T14:48:15Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141405 |
| . |
| Reference:
|
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| Reference:
|
[2] Bucur, D., Feireisl, E., Nečasová, Š.: On the asymptotic limit of flows past a ribbed boundary.J. Math. Fluid Mech. 10 (2008), 554-568. Zbl 1189.35219, MR 2461251, 10.1007/s00021-007-0242-1 |
| Reference:
|
[3] Bucur, D., Feireisl, E., Nečasová, Š.: Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions.Arch. Ration. Mech. Anal. 197 (2010), 117-138. Zbl 1273.76073, MR 2646816, 10.1007/s00205-009-0268-z |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| . |
