Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Convergence of the rotating fluids system in a domain with rough boundaries
We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with the classical...
Convergence results for MHD system.
Couches d’Ekman pour les fluides tournants et la limite du système de Navier-Stokes vers celui d’Euler.