Stability of oscillating boundary layers in rotating fluids

International audienceWe prove the linear and non-linear stability of oscillating Ekman boundary layers for rotating fluids in the so-called ill-prepared case under a spectral hypothesis. Here, we deal with the case where the viscosity and the Rossby number are both equal to epsilon. This study generalizes the study of [23] where a smallness condition was imposed and the study of [26] where the well-prepared case was treated