4 papers · 1 filter
A survey on rigorous results for the dynamics of periodic FPU chains
Dario Bambusi, Andrea Carati, Alberto Maiocchi
In this paper we review some analytic results on the dynamics of the FPU system. In the first part of the paper, having in mind that the FPU Hamiltonian and the Toda Hamiltonian ar…
Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time approximation of KAM solutions
Dario Bambusi, Andrea Belloni, Filippo Giuliani
We study the non relativistic limit of the solutions of the cubic nonlinear Klein--Gordon (KG) equation with periodic boundary conditions on an interval and we construct a family o…
A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian
Dario Bambusi
We prove a global version of Nekhoroshev theorem for time dependent Hamiltonians in . Precisely, we prove a result showing that for all times the actions…
A large probability averaging Theorem for the defocousing NLS
Dario Bambusi, Alberto Maiocchi, Luca Turri
We consider the nonlinear Schroedinger equation on the one dimensional torus, with a defocousing polynomial nonlinearity and study the dynamics corresponding to initial data in a s…