Computation of the effective slip of rough hydrophobic surfaces via homogenization (Q2920913)

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scientific article; zbMATH DE number 6349054
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Computation of the effective slip of rough hydrophobic surfaces via homogenization
scientific article; zbMATH DE number 6349054

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    Computation of the effective slip of rough hydrophobic surfaces via homogenization (English)
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    29 September 2014
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    Wall laws
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    homogenisation
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    effective slip
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    Dirchlet-to-Neumann map
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    domain with small holes
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    The authors aim at using homogenisation techniques to perform a quantitative study of the effect of rough hydrophobic surfaces on viscous Newtonian flows. The main problem seems to reduce to the homogenisation of a class of nonlocal systems, involving the Dirchlet-to-Neumann map of the Stokes operator, in a domain with small holes.
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