SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 32-61, January 2021.
In this paper we establish an averaging principle for the complex Ginzburg--Landau equations, perturbed by a mixing random force. The principle applies to study the limiting behavior of solutions for the equations on long time intervals, as well as the limiting behavior of their stationary measures. Next we apply this averaging principle to specific equations, perturbed by several classes of random forces.

中文翻译：

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混合随机力扰动的复杂Ginzburg-Landau方程的平均原理

SIAM数学分析期刊，第53卷，第1期，第32-61页，2021
年1月。在本文中，我们建立了由混合随机力扰动的复数Ginzburg-Landau方程的平均原理。该原理适用于研究长时间间隔方程的解的极限行为，以及它们的固定测度的极限行为。接下来，我们将这种平均原理应用于受几类随机力干扰的特定方程。