Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
نویسندگان
چکیده
We tackle the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on the impermeable boundaries. We 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.
منابع مشابه
XXII ICTAM, 25–29 August 2008, Adelaide, Australia ON PENALTY APPROACHES FOR NAVIER-SLIP AND OTHER BOUNDARY CONDITIONS IN VISCOUS FLOW
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