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Keywords = stochastic Ginzburg–Landau–Newell equations

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11 pages, 271 KB  
Article
Stability of the Stochastic Ginzburg–Landau–Newell Equations in Two Dimensions
by Jing Wang and Yan Zheng
Axioms 2024, 13(6), 412; https://doi.org/10.3390/axioms13060412 - 19 Jun 2024
Viewed by 874
Abstract
This paper concerns the 2D stochastic Ginzburg–Landau–Newell equations with a degenerate random forcing. We study the relationship between stationary distributions which correspond to the original and perturbed systems and then prove the stability of the stationary distribution. This suggests that the complexity of [...] Read more.
This paper concerns the 2D stochastic Ginzburg–Landau–Newell equations with a degenerate random forcing. We study the relationship between stationary distributions which correspond to the original and perturbed systems and then prove the stability of the stationary distribution. This suggests that the complexity of stochastic systems is likely to be robust. The main difficulty of the proof lies in estimating the expectation of exponential moments and controlling nonlinear terms while working on the evolution triple H2H1H0 to obtain a bound on the difference between the original solution and the perturbed solution. Full article
(This article belongs to the Special Issue Stochastic and Statistical Analysis in Natural Sciences)
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