Fractal dimension of random attractors for stochastic non-autonomous reaction–diffusion equations

Shengfan Zhou, Yongxiao Tian and Zhaojuan Wang

Applied Mathematics and Computation, 2016, vol. 276, issue C, 80-95

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: Stochastic reaction–diffusion equation; Random attractor; Multiplicative white noise; Fractal dimension; Random dynamical system; Additive white noise (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:80-95

DOI: 10.1016/j.amc.2015.12.009

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