-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, 1-12

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 -random attractor for the generated random dynamical system is exactly the -random attractor. This improves a recent conclusion derived by Brune et al. on the existence of the -random attractor for the same system.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:706091

DOI: 10.1155/2013/706091

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