MOTION DRIVEN BY WIND AND BY CORIOLIS-FORCE IN A THIN DOMAIN - II NONSTATIONARY CASE

We prove that a solution of the Navier-Stokes equations with adherence at bottom and traction by wind at surface goes to a 3D limit when the depth goes to 0 once conveniently normalized. The limit satisfies a 3 D in space vertical diffusion model which according to the characteris tic time, is quasi-stationary or non-stationary. Its calculus reduces to the resolution of a 2D in space problem governing the potential ove r the surface, module a semi-discretization in time in the non-station ary case. (C) Academie des Sciences/Elsevier, Paris