Relevance of the slip condition for fluid flows near an irregular boundary
نویسندگان
چکیده
We consider the Navier-Stokes equation in a domain with rough boundaries. The small irregularity is modeled by a small amplitude and small wavelength boundary, with typical lengthscale ε ¿ 1. For periodic roughness, it is well-known that the best homogenized (that is regular in ε) boundary condition is of Navier type. Such result still holds for random stationary irregularities, as shown recently by the first author [5, 13]. We study here arbitrary irregularity patterns.
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