Special Session 48: Fluid dynamics and KAM theory

Large amplitude quasi-periodic waves in rotating fluids
Luca Franzoi
University of Milan
Italy
Co-Author(s):    Roberta Bianchini, Riccardo Montalto, Shulamit Terracina
Abstract:
The $\beta$-plane equation is a 2D approximation model of the 3D Euler-Coriolis equations for rotating fluid. The goal of this short talk is to give an overview on these equations and to quickly present a recent result that studies the dynamics under the effect of a highly oscillating forcing term of substantial large size, therefore not perturbative. Moreover, we will assume the external forcing term to be traveling quasi-periodic in order to resolve a natural degeneracy arising from the rotation of the fluid. This is a joint work with Roberta Bianchini, Riccardo Montalto and Shulamit Terracina.