154 citations · 433 across the 26 of their papers we have counts for
31 papers
Space quasi-periodic steady Euler flows close to the inviscid Couette flow
Luca Franzoi, Nader Masmoudi, Riccardo Montalto
We prove the existence of steady \emph{space quasi-periodic} stream functions, solutions for the Euler equation in vorticity-stream function formulation in the two dimensional chan…
Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori
Dario Bambusi, Roberto Feola, Riccardo Montalto
In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations, namely a nonlinear Schrödinger equ…
A KAM approach to the inviscid limit for the 2D Navier-Stokes equations
Luca Franzoi, Riccardo Montalto
In this paper we investigate the inviscid limit for time-quasi-periodic solutions of the incompressible Navier-Stokes equations on the two-dimensional torus ${\mathbb T}^2…
Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators
Thomas Kappeler, Riccardo Montalto
Near an arbitrary finite gap potential we construct real analytic, canonical coordinates for the Benjamin-Ono equation on the torus having the following two main properties: (1) up…
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…
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.