Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation

Yanfeng Guo, Chunxiao Guo and Yongping Xi

Complexity, 2020, vol. 2020, 1-11

Abstract:

Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with some properties is mainly investigated on the bounded domain and unbounded domain, through the Ornstein–Uhlenbeck transformation and tail-term estimates. Furthermore, on the basis of some conditions, the finiteness of fractal dimension of random attractor is proved.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:8864585

DOI: 10.1155/2020/8864585

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