collaborators

4 papers

math.AP2025

Almost global existence for Hamiltonian PDEs on compact manifolds

Dario Bambusi, Joackim Bernier, Benoît Grébert +1

We prove an abstract result of almost global existence of small solutions to semi-linear Hamiltonian partial differential equations satisfying very weak non resonance conditions an…

math.AP2025

Longtime dynamics for the Landau Hamiltonian with a time dependent magnetic field

Dario Bambusi, Benoit Grébert, Alberto Maspero +2

We consider a modulated magnetic field, , perpendicular to a fixed plane, where is constant, and a periodic function on th…

math.AP2025

Infinite dimensional invariant tori for nonlinear Schrödinger equations

Joackim Bernier, Benoit Grébert, Tristan Robert

We prove that nonlinear Schrödinger equations on the circle, without external parameters, admits plenty of almost periodic solutions. Indeed, we prove that arbitrarily close to mo…

math.AP2024

Dynamics of quintic nonlinear Schr{ö}dinger equations in

Joackim Bernier, Benoît Grébert, Tristan Robert

In this paper, we succeed in integrating Strichartz estimates (encoding the dispersive effects of the equations) in Birkhoff normal form techniques. As a consequence, we deduce a r…