Stochastic complex Ginzburg-Landau equation on compact surfaces
Analysis of PDEs
2025-03-03 v1 Probability
Abstract
We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After renormalizing the equation in a suitable manner, we show that the dynamics is locally well-posed. Moreover, we prove deterministic global well-posedness for the defocusing SCGL in the weakly dispersive regime.
Cite
@article{arxiv.2502.21128,
title = {Stochastic complex Ginzburg-Landau equation on compact surfaces},
author = {Tristan Robert and Younes Zine},
journal= {arXiv preprint arXiv:2502.21128},
year = {2025}
}