54 citations · 67 across the 12 of their papers we have counts for
13 papers
Long-wave instability of periodic shear flows with constant magnetic field for the 2D resistive MHD equations
Roberto Feola, Luca Franzoi, Riccardo Montalto +1
We investigate the long-wave linear stability and instability of the two-dimensional viscous, resistive Magnetohydrodynamic (MHD) equations, in vorticity-current formulation, on th…
Time-periodic vortices near translating symmetric dipole patches
Luca Franzoi, Taoufik Hmidi, Riccardo Montalto
We prove the existence of time-periodic solutions of the two-dimensional incompressible Euler equations bifurcating from a translating vortex pair. The reference configuration cons…
Quasi-periodic traveling electron layers
Luca Franzoi, Emeric Roulley
We consider the one dimensional space-periodic Vlasov-Poisson equations and construct, close to symmetric flat velocity strips, small amplitude traveling quasi-periodic electron-la…
Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Roberto Feola, Luca Franzoi, Riccardo Montalto
In this paper we consider the -plane equation with a smooth external force which is a quasi-periodic traveling wave of large amplitude , , and with large…
Large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Roberta Bianchini, Luca Franzoi, Riccardo Montalto +1
We establish the existence of quasi-periodic traveling wave solutions for the -plane equation on with a large quasi-periodic traveling wave external force. These…
Time almost-periodic solutions of the incompressible Euler equations
Luca Franzoi, Riccardo Montalto
We construct time almost-periodic solutions (global in time) with finite regularity to the incompressible Euler equations on the torus $\T^d$, with and even.
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…
Reducibility for a linear wave equation with Sobolev smooth fast driven potential
Luca Franzoi
We prove a reducibility result for a linear wave equation with a time quasi-periodic driving on the one dimensional torus. The driving is assumed to be fast oscillating, but not ne…
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…
Pure gravity traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the existence of small amplitude time quasi-periodic solutions of the pure gravity water waves equations with constant vorticity, for a bidimensional fluid over a flat bot…
Traveling quasi-periodic water waves with constant vorticity
Massimiliano Berti, Luca Franzoi, Alberto Maspero
We prove the first bifurcation result of time quasi-periodic traveling waves solutions for space periodic water waves with vorticity. In particular we prove existence of small ampl…
Quadratic life span of periodic gravity-capillary water waves
Massimiliano Berti, Roberto Feola, Luca Franzoi
We consider the gravity-capillary water waves equations for a bi-dimensional fluid with a periodic one-dimensional free surface. We prove a rigorous reduction of this system to Bir…
Reducibility for a fast driven linear Klein-Gordon equation
Luca Franzoi, Alberto Maspero
We prove a reducibility result for a linear Klein-Gordon equation with a quasi-periodic driving on a compact interval with Dirichlet boundary conditions. No assumptions are made on…