Submitted:
23 February 2020
Posted:
24 February 2020
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Abstract
In this paper, we study the existence of the random -pullback attractor of a non-autonomous local modified stochastic Swift-Hohenberg equation with multiplicative noise in stratonovich sense. It is shown that a random -pullback attractor exists in when its external force has exponential growth. Due to the stochastic term, the estimate are delicate, we overcome this difficulty by using the Ornstein-Uhlenbeck(O-U) transformation and its properties.
Keywords:
Swift-Hohenberg equation
; Random-pullback attractor
; Non-autonomous random dynamical system
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