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arXiv · 2502.21128

Stochastic complex Ginzburg-Landau equation on compact surfaces

Tristan Robert·Younes Zine
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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.

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Tristan Robert, Younes Zine. 2025-02-28. Stochastic complex Ginzburg-Landau equation on compact surfaces. https://arxiv.org/abs/2502.21128

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