A new result on the fractal dimension estimates of random attractor for non-autonomous random 2D stochastic dynamical type systems

Nguyen Tien Da

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

Abstract: We prove some conditions for bounding the fractal dimension of random invariant sets of non-autonomous random dynamical systems on separable Banach spaces. Then we apply these conditions to prove the finiteness of fractal dimension of random attractor for stochastic 2D hydrodynamical type equations with linear additive white noise in bounded domains or unbounded domains satisfying the Poincaré inequality.

Keywords: Fractal dimension; Random attractor; Stochastic 2D hydrodynamical type equations (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011645

DOI: 10.1016/j.chaos.2023.114262

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