Exponential mixing for the randomly forced NLS equation
Analysis of PDEs
2025-06-13 v1 Dynamical Systems
Optimization and Control
Probability
Abstract
This paper investigates exponential mixing of the invariant measure for randomly forced nonlinear Schr\"{o}dinger equation, with damping and random noise localized in space. Our study emphasizes the crucial role of exponential asymptotic compactness and control properties in establishing the ergodic properties of random dynamical systems. This work extends the series [15, 45] on the statistical behavior of randomly forced dispersive equations.
Cite
@article{arxiv.2506.10318,
title = {Exponential mixing for the randomly forced NLS equation},
author = {Yuxuan Chen and Shengquan Xiang and Zhifei Zhang and Jia-Cheng Zhao},
journal= {arXiv preprint arXiv:2506.10318},
year = {2025}
}