7 citations · 10 across the 6 of their papers we have counts for
5 papers · 1 filter
Reducible KAM tori for Degasperis-Procesi equation
Roberto Feola, Filippo Giuliani, Michela Procesi
We develop KAM theory close to an elliptic fixed point for quasi-linear Hamiltonian perturbations of the dispersive Degasperis-Procesi equation on the circle. The overall strategy…
Exponential Stability Estimates for the 1D NLS
Biasco Luca, Jessica Elisa Massetti, Michela Procesi
We study stability times for a family of parameter dependent nonlinear Schrödinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first in…
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
Marcel Guardia, Zaher Hani, Emanuele Haus +2
We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori ca…
Reducibility for a class of weakly dispersive linear operators arising from the Degasperis Procesi equation
Roberto Feola, Filippo Giuliani, Michela Procesi
We prove reducibility of a class of quasi-periodically forced linear equations of the form \[ \partial_tu-\partial_x\circ (1+a(ωt, x))u+\mathcal{Q}(ωt)u=0,\quad x\in\mathbb{T}:=\ma…
Reducibility of first order linear operators on tori via Moser's theorem
Roberto Feola, Filippo Giuliani, Riccardo Montalto +1
In this paper we prove reducibility of classes of linear first order operators on tori by applying a generalization of Moser's theorem on straightening of vector fields on a torus.…