THE BOUNDARY-LAYER ANALYSIS FOR STOKES EQUATIONS ON A HALF-SPACE

The time dependent Stokes equations on a half space are considered. We decompose the solution of these equations in an inviscid solution: a boundary layer solution and a correction. Bounds on these solutions ar e given, in the appropriate Sobolev spaces. in terms of the norms of t he initial and boundary data. The correction is shown to be of the sam e order of magnitude of the square root of the viscosity.