Effective boundary condition at a rough surface starting from a slip condition

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Effective boundary condition at a rough surface starting from a slip condition

We consider the homogenization of the Navier-Stokes equation, set in a channel with a rough boundary, of small amplitude and wavelength ǫ. It was shown recently that, for any non-degenerate roughness pattern, and for any reasonable condition imposed at the rough boundary, the homogenized boundary condition in the limit ε = 0 is always no-slip. We give in this paper error estimates for this homo...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2011

ISSN: 0022-0396

DOI: 10.1016/j.jde.2011.07.017