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2014 A Stochastic Weakly Damped, Forced KdV-BO Equation
Guolian Wang
Abstr. Appl. Anal. 2014(SI66): 1-8 (2014). DOI: 10.1155/2014/576087

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 ( ) .

Citation

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Guolian Wang. "A Stochastic Weakly Damped, Forced KdV-BO Equation." Abstr. Appl. Anal. 2014 (SI66) 1 - 8, 2014. https://doi.org/10.1155/2014/576087

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022642
MathSciNet: MR3208546
Digital Object Identifier: 10.1155/2014/576087

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI66 • 2014
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