Remarks on the Prandtl equation for a permeable wall

The goal of this article is to study the boundary layer for a flow in a cha nnel with permeable walls. Observing that the Prandtl equation can be solve d almost exactly in this case, we are able to derive rigorously a number of results concerning the boundary layer and the convergence of the Navier-St okes equations to the Euler equations. We indicate also how to derive highe r order terms in the inner and outer expansions with respect to the kinemat ic viscosity v.