Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain

Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain

Abstract In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain. After obtaining some a priori estimates by the uniform Gronwall inequality, we prove the existence of an attractor by the Sobolev compact embeddings. Then, we consider the stochastic Swift-Hohenber...

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Bibliographic Details
Main Authors: CX Guo, YY Chen, YF Guo
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
stochastic Swift-Hohenberg equation
random attractor
additive noise
asymptotically compact
Online Access:http://link.springer.com/article/10.1186/s13660-016-1166-1

Internet

http://link.springer.com/article/10.1186/s13660-016-1166-1

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