A. Belloni

collaborators

2 papers

math.AP2026

Global Well-Posedness and Uniform Long-Time Control for a Class of Periodic NLS-Dysthe Equations

Andrea Belloni, Filippo Giuliani

We study a class of periodic NLS-Dysthe equations of the form $i \partial_{t} u + a \partial_{x}^{2} u + b ∣ u ∣^{2} u + i ε (c \partial_{x}^{3} u + d ∣ u ∣^{2} \partial_{x} u + e u^{2} \partial_{x} u) = 0$ with…

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…