We prove the existence and the linear stability of Cantor families of small amplitude time
quasi-periodic standing water wave solutions—namely periodic and even in the space …

We prove the existence and the linear stability of small amplitude time quasi-periodic
standing wave solutions (ie periodic and even in the space variable $ x $) of a $2 …

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 and the stability of Cantor families of quasi-periodic, small amplitude
solutions of quasi-linear (ie strongly nonlinear) autonomous Hamiltonian differentiable …

We construct time quasi-periodic vortex patch solutions with one hole for the planar Euler
equations. These structures are captured close to any annulus provided that its modulus …

Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent
perturbation Page 1 ANALYSIS & PDE msp Volume 11 No. 3 2018 DARIO BAMBUSI …

In this paper, we highlight the importance of the boundary effects on the construction of
quasi-periodic vortex patches solutions close to Rankine vortices and whose existence is …

In this paper we consider time dependent Schrödinger linear PDEs of the form i∂ t ψ= L (t)
ψ, where L (t) is a continuous family of self-adjoint operators. We give conditions for well …

We study the Schrödinger equation on $\mathbb {R} $ with a polynomial potential behaving
as $ x^{2l} $ at infinity, $1\leq l\in\mathbb {N} $, and with a small time quasiperiodic …

We prove the existence of time-quasi-periodic solutions of the incompressible Euler
equation on the three-dimensional torus T 3, with a small time-quasi-periodic external force …