Energy transfer for solutions to the nonlinear Schr\"odinger equation on irrational tori
Analysis of PDEs
2024-02-23 v3
Abstract
We analyze the energy transfer for solutions to the defocusing cubic nonlinear Schr\"odinger (NLS) initial value problem on 2D irrational tori. Moreover we complement the analytic study with numerical experimentation. As a biproduct of our investigation we also prove that the quasi-resonant part of the NLS initial value problem we consider, in both the focusing and defocusing case, is globally well-posed for initial data of finite mass.
Keywords
Cite
@article{arxiv.2107.01459,
title = {Energy transfer for solutions to the nonlinear Schr\"odinger equation on irrational tori},
author = {Alexander Hrabski and Yulin Pan and Gigliola Staffilani and Bobby Wilson},
journal= {arXiv preprint arXiv:2107.01459},
year = {2024}
}