Coriolis effect on water waves

Nom de l'orateur
Benjamin Melinand
Etablissement de l'orateur
Indiana University, Bloomington
Date et heure de l'exposé
Lieu de l'exposé

In this talk, we study the influence of a Coriolis forcing on water waves. First, we present a local wellposedness result on the Castro-Lannes equations which generalize the so called Zakharov/Craig-Sulem formulation in the rotational framework. Then, we study different asymptotic models in shallow waters. First, we fully justify on large times the Boussinesq equations, asymptotic model in a weakly nonlinear regime, and then we fully justify the Poincaré waves and the Ostrovsky equation.