9 citations · 16 across the 3 of their papers we have counts for
15 papers
Long-time stability of the quantum hydrodynamic system on irrational tori
Roberto Feola, Felice Iandoli, Federico Murgante
We consider the quantum hydrodynamic system on a -dimensional irrational torus with . We discuss the behaviour, over a "non trivial" time interval, of the -Sobolev n…
Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori
Roberto Feola, Riccardo Montalto
We consider a family of Schrödinger equations with unbounded Hamiltonian quadratic nonlinearities on a generic tori of dimension . We study the behaviour of high Sobolev no…
Time Quasi-Periodic Traveling Gravity Water Waves in Infinite Depth
Roberto Feola, Filippo Giuliani
We present the recent result [8] concerning the existence of quasi-periodic in time traveling waves for the 2d pure gravity water waves system in infinite depth. We provide the fir…
Long-time existence for semi-linear beam equations on irrational tori
Joackim Bernier, Roberto Feola, Benoît Grébert +1
We consider the semi-linear beam equation on the d dimensional irrational torus with smooth nonlinearity of order n -- 1 with n 3 and d 2. If 1 is the size of…
A non-linear Egorov theorem and Poincaré-Birkhoff normal forms for quasi-linear pdes on the circle
Roberto Feola, Felice Iandoli
In this paper we consider an abstract class of quasi-linear para-differential equations on the circle. For each equation in the class we prove the existence of a change of coordina…
Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential
Roberto Feola, Benoît Grébert, Trung Nguyen
In this article we prove a reducibility result for the linear Schrödinger equation on a Zoll manifold with quasi-periodic in time pseudo-differential perturbation of order less or…