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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 576087, 8 pages
http://dx.doi.org/10.1155/2014/576087
Research Article

A Stochastic Weakly Damped, Forced KdV-BO Equation

Department of Mathematics, Tongji University, Shanghai 200092, China

Received 14 January 2014; Revised 13 April 2014; Accepted 13 April 2014; Published 5 May 2014

Academic Editor: Tonghua Zhang

Copyright © 2014 Guolian Wang. 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.

Abstract

We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system. By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space .