54 citations · 56 across the 9 of their papers we have counts for
9 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…
Equivariant critical point theory and bifurcation of gravity-capillary Stokes waves
Tommaso Barbieri, Massimiliano Berti, Marco Mazzucchelli
We establish novel existence results of gravity-capillary periodic traveling waves. In particular we prove the bifurcation of multiple, geometrically distinct truly Stoke…
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…
On higher order isolas of unstable Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
We overview the recent result [3, Theorem 1.1] about the high-frequency instability of Stokes waves subject to longitudinal perturbations. The spectral bands of unstable eigenvalue…
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…
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…
First isola of modulational instability of Stokes waves in deep water
Massimiliano Berti, Alberto Maspero, Paolo Ventura
We prove high-frequency modulational instability of small-amplitude Stokes waves in deep water under longitudinal perturbations, providing the first isola of unstable eigenvalues b…
Pure gravity traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the existence of small amplitude time quasi-periodic solutions of the pure gravity water waves equations with constant vorticity, for a bidimensional fluid over a flat bot…
Traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the first bifurcation result of time quasi-periodic traveling waves solutions for space periodic water waves with vorticity. In particular we prove existence of small ampl…