Fractal dimension for the nonautonomous stochastic fifth-order Swift-Hohenberg equation (Q2210290)

Summary: 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.