118 citations · 271 across the 30 of their papers we have counts for
6 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…
Birkhoff normal form and long time existence for periodic gravity water waves
Massimiliano Berti, Roberto Feola, Fabio Pusateri
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth, and prove a rigorous reduction of these equations to Birkhoff normal form up…
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…
Long time existence for fully nonlinear NLS with small Cauchy data on the circle
Roberto Feola, Felice Iandoli
In this paper we prove long time existence for a large class of fully nonlinear, reversible and parity preserving Schrödinger equations on the one dimensional torus. We show that f…
On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances
Roberto Feola, Filippo Giuliani, Stefano Pasquali
We consider the dispersive Degasperis-Procesi equation with . In \cite{Deg} t…
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.…