154 citations · 798 across the 35 of their papers we have counts for
39 papers
Time periodic solutions of completely resonant Klein-Gordon equations on
Massimiliano Berti, Beatrice Langella, Diego Silimbani
We prove existence and multiplicity of Cantor families of small amplitude time periodic solutions of completely resonant Klein-Gordon equations on the sphere with qu…
Stokes waves at the critical depth are modulational unstable
Massimiliano Berti, Alberto Maspero, Paolo Ventura
This paper fully answers a long standing open question concerning the stability/instability of pure gravity periodic traveling water waves -- called Stokes waves -- at the critical…
Zoll magnetic systems on the two-torus: a Nash-Moser construction
Luca Asselle, Gabriele Benedetti, Massimiliano Berti
We construct an infinite-dimensional family of smooth integrable magnetic systems on the two-torus which are Zoll, meaning that all the unit-speed magnetic geodesics are periodic.…
Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence
Massimiliano Berti, Alberto Maspero, Federico Murgante
We prove an almost global in time existence result of small amplitude space periodic solutions of the 1D gravity-capillary water waves equations with constant vorticity. The result…
Benjamin-Feir instability of Stokes waves in finite depth
Massimiliano Berti, Alberto Maspero, Paolo Ventura
Whitham and Benjamin predicted in 1967 that small-amplitude periodic traveling Stokes waves of the 2d-gravity water waves equations are linearly unstable with respect to long-wave…
Time quasi-periodic vortex patches of Euler equation in the plane
Massimiliano Berti, Zineb Hassainia, Nader Masmoudi
We prove the existence of time quasi-periodic vortex patch solutions of the 2-Euler equations in , close to uniformly rotating Kirchhoff elliptical vortices, with…