activity
20242026
collaborators

5 papers

math.AP2026

Transfer of energy for pure-gravity water waves with constant vorticity

Beatrice Langella, Alberto Maspero, Federico Murgante +1

We consider two-dimensional periodic gravity water waves with constant nonzero vorticity , in infinite depth and with periodic boundary conditions. We prove that, if the charac…

math.AP2025

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves

Roberto Feola, Riccardo Montalto, Shulamit Terracina

Starting with the pioneering computations of Stokes in 1847, the search of traveling waves in fluid mechanics has always been a fundamental topic, since they can be seen as buildin…

math.AP2024

Large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids

Roberta Bianchini, Luca Franzoi, Riccardo Montalto +1

We establish the existence of quasi-periodic traveling wave solutions for the -plane equation on with a large quasi-periodic traveling wave external force. These…

math.AP2024

Reducibility of Klein-Gordon equations with maximal order perturbations

Massimiliano Berti, Roberto Feola, Michela Procesi +1

We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation where $ Q(ωt) := a^{(2)}(ωt, x) \partial_{x…

math.AP2024

Large amplitude traveling waves for the non-resistive MHD system

Gennaro Ciampa, Riccardo Montalto, Shulamit Terracina

We prove the existence of large amplitude bi-periodic traveling waves (stationary in a moving frame) of the two-dimensional non-resistive Magnetohydrodynamics (MHD) system with a t…