Filippo Giuliani

activity

20162026

most citedChaotic-like transfers of energy in Hamiltonian PDEs

10 citations · 18 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.AP2018

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…

math.AP2018

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…

math.AP2018

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 $u_{t} - u_{xx t} - c u_{xxx} + 4 c u_{x} - u u_{xxx} - 3 u_{x} u_{xx} + 4 u u_{x} = 0$ with $c \neq = 0$ . In \cite{Deg} t…

math.AP2018

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.…