Vanishing viscosity limit in the presence of rough boundaries

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Fr茅d茅ric Rousset (Paris 11, Orsay)

We will study the inviscid limit of the incompressible Navier-Stokes equations听with a slip boundary condition on a rough boundary modeled by听a graph with 听small wavelength oscillations.听After motivating the problem, we will present a convergence result听to the Euler equation on a flat boundary for some choices of the parameters.