A Stochastic Weakly Damped, Forced KdV-BO Equation

作者:Wang Guolian*
来源:Abstract and Applied Analysis, 2014, 2014: 576087.
DOI:10.1155/2014/576087

摘要

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(R).

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