Asymptotic analysis of Oseen equations for small viscosity Original Research Article

In this article, we derive explicit asymptotic formulas for the solutions of Oseenʹs equations in space dimension two in a channel at large Reynolds number (small viscosity ϵ). These formulas exhibit typical boundary layers behaviors. Suitable correctors are defined to resolve the boundary obstacle and obtain convergence results valid up to the boundary. We study also the behavior of the boundary layer when simultaneously time and the Reynolds number tend to infinity in which case the boundary layer tends to pervade the whole domain.