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math.AP2026
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…
math.AP2025
Growth of Sobolev norms for completely resonant quantum harmonic oscillators on
Beatrice Langella, Alberto Maspero, Maria Teresa Rotolo
We consider time dependently perturbed quantum harmonic oscillators in : $$ {\rm i} \partial_t u=\frac12(-\partial_{x_1}^2-\partial_{x_2}^2 + x_1^2+x_2^2)u +V(t, x, D…
math.AP2024
Growth of Sobolev norms in quasi integrable quantum systems
Dario Bambusi, Beatrice Langella
We prove an abstract result giving a upper bound on the growth of the Sobolev norms of a time-dependent Schrödinger equation of the form ${i} \dot…