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

الملخص EN

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.