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Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
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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.
Title: Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
Description:
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.
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