Vanishing viscosity limit in the presence of rough boundaries

Vanishing viscosity limit in the presence of rough boundaries

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Frédéric Rousset (Paris 11, Orsay)
Fine Hall 322

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