A Stochastic Weakly Damped, Forced KdV‐BO Equation

Guolian Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 H1(ℝ).

Date: 2014
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https://doi.org/10.1155/2014/576087

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:576087

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