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. Preprints2020, 2020020350. https://doi.org/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. https://doi.org/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. Preprints2020, 2020020350. https://doi.org/10.20944/preprints202002.0350.v1
APA Style
Li, Y., Zhao, T., & Wu, H. (2020). Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise. Preprints. https://doi.org/10.20944/preprints202002.0350.v1
Chicago/Turabian Style
Li, Y., Tinggang Zhao and Hongqing Wu. 2020 "Random Pullback Attractor of a Non-autonomous Local Modified Stochastic Swift-Hohenberg with Multiplicative Noise" Preprints. https://doi.org/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.
Keywords
Swift-Hohenberg equation; Random-pullback attractor; Non-autonomous random dynamical system
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
