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The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics. (English) Zbl 1224.35340
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.

MSC:
35Q35 PDEs in connection with fluid mechanics
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