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.
Coriolis effect on water waves
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Nom de l'orateur
Benjamin Melinand
Etablissement de l'orateur
Indiana University, Bloomington
Date et heure de l'exposé
Lieu de l'exposé