Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419860 | Applied Mathematics and Computation | 2016 | 16 Pages |
Abstract
In this paper, we first give some conditions for bounding the fractal dimension of a random invariant set for a non-autonomous random dynamical system on a separable Banach space. Then we apply these conditions to prove the finiteness of fractal dimension of the random attractors for stochastic reaction-diffusion equations with multiplicative white noise and additive white noise.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shengfan Zhou, Yongxiao Tian, Zhaojuan Wang,