In this article, we consider the stochastic tidal dynamics equations perturbed by multiplicative Gaussian noise and discuss some asymptotic behaviors. A central limit theorem and a moderate deviation principle are derived for such systems. The results are proved using a variational method (based on weak convergence approach) developed by Budhiraja and Dupuis.

中文翻译：

---

具有乘性高斯噪声的随机潮汐动力学方程的中等偏差

在本文中，我们考虑了受乘性高斯噪声扰动的随机潮汐动力学方程，并讨论了一些渐近行为。为此类系统推导出中心极限定理和适度偏差原理。使用由 Budhiraja 和 Dupuis 开发的变分方法（基于弱收敛方法）证明了结果。