The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong–Zakai approximations of stochastic degenerate parabolic equations. We then prove that the attractors of Wong–Zakai approximations converge to the attractor of stochastic degenerate parabolic equations driven by multiplicative white noise.

中文翻译：

---

无界域上随机退化抛物方程的 Wong-Zakai 近似和吸引子

本文考虑了由平稳过程和随机退化抛物方程的吸引子给出的 Wong-Zakai 近似。我们首先确定了随机退化抛物方程的 Wong-Zakai 近似的回火吸引子的存在性和唯一性。然后，我们证明了 Wong-Zakai 近似的吸引子收敛到由乘法白噪声驱动的随机退化抛物方程的吸引子。