Preprint Article Version 1 This version is not peer-reviewed

Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise

Version 1 : Received: 23 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (12:30:08 CET)

How to cite: Li, Y.; Zhao, T.; Wu, H. Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise. Preprints 2020, 2020020350 (doi: 10.20944/preprints202002.0350.v1). Li, Y.; Zhao, T.; Wu, H. Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise. Preprints 2020, 2020020350 (doi: 10.20944/preprints202002.0350.v1).

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.

Subject Areas

Swift-Hohenberg equation; Random-pullback attractor; Non-autonomous random dynamical system

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.