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 small amplitude time quasi‐periodic solutions of the pure gravity
water waves equations with constant vorticity, for a bidimensional fluid over a flat bottom …

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 …

The main goal of this paper is to explore the leapfrogging phenomenon in the inviscid planar
flows. We show for 2d Euler equations that under suitable constraints, four concentrated …

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 …

We prove the existence of large amplitude bi-periodic traveling waves (stationary in a
moving frame) of the two-dimensional non-resistive Magnetohydrodynamics (MHD) system …

We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation
$\psi_ {tt}-\psi_ {xx}+\mathtt {m}\psi+ Q (\omega t)\psi= 0$ where $ Q (\omega t) …

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 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 than or …