8 papers
McLean resonances and spectral instability of Stokes waves
Massimiliano Berti, Alberto Maspero, Antonio Milosh Radakovic
The spectral instability of traveling periodic water waves has been investigated for more than sixty years, since the seminal discovery of Benjamin and Feir. Despite an extensive l…
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…
Rogue waves and large deviations for 2D pure gravity deep water waves
Massimiliano Berti, Ricardo Grande, Alberto Maspero +1
Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathema…
One dimensional energy cascades in a fractional quasilinear NLS
Alberto Maspero, Federico Murgante
We consider the problem of transfer of energy to high frequencies in a quasilinear Schrödinger equation with sublinear dispersion, on the one dimensional torus. We exhibit initial…
Infinitely many isolas of modulational instability for Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
This paper proves long-standing conjectures regarding the existence of infinitely many high-frequency modulational instability ``isolas" for a Stokes wave in arbitrary depth $ \mat…
Bifurcation of gravity-capillary Stokes waves with constant vorticity
T. Barbieri, M. Berti, A. Maspero +1
We consider the gravity-capillary water waves equations of a 2D fluid with constant vorticity. By employing variational methods we prove the bifurcation of periodic traveling water…