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Keywords:
Navier-Stokes system; rough boundary; slip boundary condition
Navier-Stokes system; rough boundary; slip boundary condition
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.
References:
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