2 papers
math-ph2025
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…
math.AP2024
Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori
Filippo Giuliani, Raffaele Scandone
In this paper we prove the existence of solutions to the quantum Euler equations on , , with almost constant mass density, displaying energy transfers t…