H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition.
The white noises affect the system through a dynamical boundary condition.
Using a method based on the theory of omega-limit compactness of a random dynamical system, we prove that the L2-random attractor for the generated random dynamical system is exactly the H1-random attractor.
This improves a recent conclusion derived by Brune et al.
on the existence of the L2-random attractor for the same system.
American Psychological Association (APA)
Zhao, Wenqiang. 2013. H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-492064
Modern Language Association (MLA)
Zhao, Wenqiang. H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-492064
American Medical Association (AMA)
Zhao, Wenqiang. H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-492064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492064