Stability of oscillating boundary layers in rotating fluids

Nader Masmoudi (1) , Frédéric Rousset (2)

1 CIMS - Courant Institute of Mathematical Sciences [New York]
2 IRMAR - Institut de Recherche Mathématique de Rennes

We 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.

Mots clés: Navier-stokes equations; nonlinear instability; initial data; 3d euler; viscosity; integrability; perturbations; regularity; limits; flow

Domaines: Equations aux dérivées partielles [math.AP]

Nader Masmoudi, Frédéric Rousset. Stability of oscillating boundary layers in rotating fluids. Annales Scientifiques de l'École Normale Supérieure, 2008, 41 (6), pp.955-1002. ⟨hal-00440342⟩