It is well known that, for fast rotating fluids with the axis of rotation being perpendicular to the boundary, the boundary layer is of Ekman-type, described by a linear ODE system. In this talk, we consider fast rotating fluids, with the axis of rotation being parallel to the boundary. We show that, for certain initial data, the corresponding boundary layer is describe by a nonlinear, degenerated PDE system which is similar to the 2D Prandtl system. Finally, we prove the well-posedness of the governing system of the boundary layer in the space of analytic functions with respect to tangential variable.
Speaker : Van-Sang NGO (Université de Rouen)