BOUNDARY-LAYERS FOR OSEEN TYPE EQUATION IN SPACE DIMENSION-3

In this article we treat linearized Navier-Stokes equations of Oseen's type with high Reynolds number and study the corresponding boundary l ayers. We consider the flow in a channel in three-dimensional space, e xtending the results previously established in [TW3] for two-dimension al space. The results here are stronger than those in [TW3]: we prove results on the strong convergence in H-1 and L-infinity (uniform) norm s and provide a corrector which is divergence-free and matches the bou ndary value of the inviscid solution.