A. Maspero

collaborators

11 papers

math.AP2021★ 1 cited

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…

math.AP2021★ 3 cited

Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon

Alberto Maspero

In this paper we consider linear, time dependent Schrödinger equations of the form $i \partial_{t} ψ = K_{0} ψ + V (t) ψ$ , where $K_{0}$ is a strictly positive selfadjoint operator wi…

math.AP2020

Local well posedness of the Euler-Korteweg equations on $T^{d}$

Massimiliano Berti, Alberto Maspero, Federico Murgante

We consider the Euler-Korteweg system with space periodic boundary conditions $x \in T^{d}$ . We prove a local in time existence result of classical solutions for irrotation…

math.AP2020

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…

math-ph2020

Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit

T. Grava, A. Maspero, G. Mazzuca +1

We consider the Fermi-Pasta-Ulam-Tsingou (FPUT) chain composed by $N ≫ 1$ particles and periodic boundary conditions, and endow the phase space with the Gibbs measure at small te…

math.AP2019

Long time growth of Sobolev norms in time dependent semiclassical anharmonic oscillators

Emanuele Haus, Alberto Maspero

We consider the semiclassical Schrödinger equation on $R^{d}$ given by $i ℏ \partial_{t} ψ = (- \frac{ℏ ^{2}}{2} Δ + W_{l} (x)) ψ + V (t, x) ψ,$ where $W_{l}$ is…