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Publications
Type
Preprint
Date
2025
2024
Bifurcation of gravity-capillary Stokes waves with constant vorticity
We construct Stokes waves for any values of the parameters, using variational methods.
T. Barbieri
,
M. Berti
,
A. Maspero
,
M. Mazzuchelli
PDF
Code
Project
arXiv
First isola of modulational instability of Stokes waves in deep water
We prove high-frequency modulational instability of small-amplitude Stokes waves in deep water under longitudinal perturbations, providing the first isola of unstable eigenvalues branching off from i3/4.
M. Berti
,
A. Maspero
,
P. Ventura
PDF
Code
Project
EMS Surv. Math. Sci
On higher order isolas of unstable Stokes waves
We prove asymptotic expansion when the depth goes to infinity of the function $\beta^{(p)}_1(h)$ for $p=2,3,4$.
M. Berti
,
L. Corsi
,
A. Maspero
,
P. Ventura
PDF
Code
Project
arXiv
Growth of Sobolev norms for completely resonant quantum harmonic oscillators on R^2
We prove growth of Sobolev norms for time dependently perturbed quantum harmonic oscillators in higher dimensions.
B. Langella
,
A. Maspero
,
M.T. Rotolo
PDF
Project
Poster
Video
arXiv
One dimensional energy cascades for a fractional quasilinear NLS
We prove growth of Sobolev norms for a quasilinear NLS with fractional dispersion, introducing a novel paradigm to obtain energy cascades.
A. Maspero
,
F. Murgante
PDF
Dataset
Project
Poster
Video
Source Document
arXiv
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