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

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  • Da, Nguyen Tien

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.

Suggested Citation

  • Da, Nguyen Tien, 2023. "A new result on the fractal dimension estimates of random attractor for non-autonomous random 2D stochastic dynamical type systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011645
    DOI: 10.1016/j.chaos.2023.114262
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    References listed on IDEAS

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    1. Gang Wang & Yanbin Tang, 2013. "Fractal Dimension of a Random Invariant Set and Applications," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, November.
    2. Zhou, Shengfan & Tian, Yongxiao & Wang, Zhaojuan, 2016. "Fractal dimension of random attractors for stochastic non-autonomous reaction–diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 80-95.
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