In this lecture we will study the
behavior for small viscosity of the
NavierStokes equations in a channel,
when the wall are permeable (non characteristic
case). Convergence is proved to the Euler
equations for the linearized and the nonlinear
case, for dimension two and three (for
a limited time in the nonlinear case); and the
appropriate correctors describing the
boundary layers are constructed. The methodology
is also reminescent of the multideck boundary
layer theory by Stewartson and others.
