Geodesic
The effective boundary conditions for vector fields on domains with rough boundaries: Applications to fluid mechanics
Applications of Mathematics, Tome 56 (2011) no. 1, pp. 39-49.

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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.
DOI : 10.1007/s10492-011-0008-1
Classification : 35Q35, 76D05
Keywords: Navier-Stokes system; rough boundary; slip boundary condition 
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Feireisl, Eduard; Nečasová, Šárka. The effective boundary conditions for vector fields on domains with rough boundaries: Applications to fluid mechanics. Applications of Mathematics, Tome 56 (2011) no. 1, pp. 39-49. doi : 10.1007/s10492-011-0008-1. http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0008-1/

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