Our goal in this monograph is twofold. First, we would like to develop a robust method to
construct global time-quasiperiodic solutions of large families of quasilinear evolution …

We prove the existence of time quasi-periodic vortex patch solutions of the 2 d-Euler
equations in R 2, close to uniformly rotating Kirchhoff elliptical vortices, with aspect ratios …

In this paper we prove reducibility of a class of first order, quasi-linear, quasi-periodic time
dependent PDEs on the torus∂ t u+ ζ⋅∂ x u+ a (ω t, x)⋅∂ xu= 0, x∈ T d, ζ∈ R d, ω∈ R ν …

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 …

We prove a reducibility result for a class of quasi-periodically forced linear wave equations
on the-dimensional torus of the form where the perturbation is a second order operator of the …

We consider the gravity water waves system with a periodic one-dimensional interface in
infinite depth and we establish the existence and the linear stability of small amplitude, quasi …

In this paper we prove the existence of small-amplitude quasi-periodic solutions with
Sobolev regularity, for the d-dimensional forced Kirchhoff equation with periodic boundary …

The main result of this research Monograph is the existence of small amplitude time quasi-
periodic solutions for autonomous nonlinear wave equations $$ u_ {tt}-\Delta u+ V (x) u+ g …

In this paper, we study the reducibility of time quasiperiodic perturbations of the quantum
harmonic or anharmonic oscillator in one space dimension. We modify known algorithms …

We consider the gravity water waves system with a periodic one-dimensional interface in
infinite depth and we establish the existence and the linear stability of small amplitude, quasi …