Showing math.APShow all
2 papers · 1 filter
math.AP2025
Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori
Joackim Bernier, Nicolas Camps
We consider nonlinear Schrödinger equations on flat tori satisfying a simple and explicit Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic ter…
math.AP2024
Modified scattering for the cubic Schrödinger equation on Diophantine waveguides
Nicolas Camps, Gigliola Staffilani
We consider the cubic Schrödinger equation posed on a product space subject to a generic Diophantine condition. Our analysis shows that the small-amplitude solutions undergo modif…