Abstract
We consider a family of solutions to the evolutionary Navier–Stokes system supplemented with the complete slip boundary conditions on domains with rough boundaries. We give a complete description of the asymptotic limit by means of Γ-convergence arguments, and identify a general class of boundary conditions.
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Bucur, D., Feireisl, E. & Nečasová, Š. Boundary Behavior of Viscous Fluids: Influence of Wall Roughness and Friction-driven Boundary Conditions. Arch Rational Mech Anal 197, 117–138 (2010). https://doi.org/10.1007/s00205-009-0268-z
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DOI: https://doi.org/10.1007/s00205-009-0268-z