Abstract We study the locally uniform convergence from a family of pullback random attractors to a deterministic attractor. We establish criteria by using joint convergence of the cocycles, collective local compactness and deterministic recurrence of the random attractors. All three conditions are verified in the content of stochastic non-autonomous Magneto-hydrodynamics equations under the weak assumption that the time-indexed forces are tempered. Therefore, we obtain the locally uniform robustness of the corresponding random attractors as the density of random noise tends to zero.

中文翻译：

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随机非自主磁流体动力学中的局部鲁棒随机吸引子

摘要 我们研究了从一系列回拉随机吸引子到确定性吸引子的局部均匀收敛。我们通过使用 cocycle 的联合收敛、集体局部紧凑性和随机吸引子的确定性递归来建立标准。所有三个条件都在随机非自主磁流体动力学方程的内容中得到验证，该方程的内容是在时间索引力被缓和的弱假设下。因此，当随机噪声的密度趋于零时，我们获得了相应随机吸引子的局部均匀鲁棒性。