H1‐Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions

Yijin Zhang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/706091

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:706091

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().