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Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions - MaRDI portal

Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions (Q717430)

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scientific article; zbMATH DE number 5952939
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English
Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
scientific article; zbMATH DE number 5952939

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    Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions (English)
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    4 October 2011
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    The paper studies the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on impermeable boundaries. The authors justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl's theory and a linear behavior. This analysis holds for general regular domains, in both dimensions two and three.
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    viscous boundary layers
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    Navier-Stokes equations
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    Navier slip condition
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