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

Author

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  • Yanfeng Guo
  • Chunxiao Guo
  • Yongping Xi

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.

Suggested Citation

  • Yanfeng Guo & Chunxiao Guo & Yongping Xi, 2020. "Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation," Complexity, Hindawi, vol. 2020, pages 1-11, September.
    • Handle: RePEc:hin:complx:8864585
    DOI: 10.1155/2020/8864585
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