A stochastic weakly damped, forced KdV-BO equation
Summary: 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 \(H^1(\mathbb{R})\).
scientific article; zbMATH DE number 7022642