35 citations · 57 across the 17 of their papers we have counts for
8 papers · 1 filter
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 charact…
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…
Globally integrable quantum systems and their perturbations
Dario Bambusi, Beatrice Langella
In this paper we present the notion of globally integrable quantum system that we introduced in [BL22]: we motivate it using the spectral theory of pseudodifferential operators and…
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow
Dario Bambusi, Roberto Feola, Beatrice Langella +1
In this paper we prove an abstract result of almost global existence for small and smooth solutions of some semilinear PDEs on Riemannian manifolds with globally integrable geodesi…
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…
Reducibility and nonlinear stability for a quasi-periodically forced NLS
Emanuele Haus, Beatrice Langella, Alberto Maspero +1
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic Schrödinger equation (NLS) on the two dimensional torus $\mathbb T^2:= (\mathbb R…
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 ψ…
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
Dario Bambusi, Beatrice Langella, Riccardo Montalto
We prove a bound on the growth of Sobolev norms for unbounded time dependent perturbations of the Laplacian on flat tori.