Zero viscosity limit of the Oseen equations in a channel

Oseen equations in the channel are considered. We give an explicit solution formula in terms of the inverse heat operators and of projection operators . This solution formula is used for the analysis of the behavior of the Ose en equations in the zero viscosity limit. We prove that the solution of Ose en equations converges in W-1,W-2 to the solution of the linearized Euler e quations outside the boundary layer and to the solution of the linearized P randtl equations inside the boundary layer.