Abstract and Applied Analysis

A Stochastic Weakly Damped, Forced KdV-BO Equation

Guolian Wang

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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 ${H}^{1}(\Bbb R)$.

Article information

Source
Abstr. Appl. Anal. Volume 2014, Special Issue (2014), Article ID 576087, 8 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
http://projecteuclid.org/euclid.aaa/1425048247

Digital Object Identifier
doi:10.1155/2014/576087

Mathematical Reviews number (MathSciNet)
MR3208546

Citation

Wang, Guolian. A Stochastic Weakly Damped, Forced KdV-BO Equation. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 576087, 8 pages. doi:10.1155/2014/576087. http://projecteuclid.org/euclid.aaa/1425048247.


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