In this paper, we prove the existence of a random attractor, the finiteness of its fractal dimension, the random squeezing property, and the existence of a finite number of determining modes for an abstract stochastic 2D hydrodynamical type equations with additive white noise.

中文翻译：

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关于具有加性白噪声的随机二维流体动力学类型方程的随机吸引子

在本文中，我们证明了随机吸引子的存在性、其分形维数的有限性、随机压缩特性以及具有加性白噪声的抽象随机二维流体动力学类型方程的有限数量确定模式的存在性。