A stochastic weakly damped, forced KdV-BO equation (Q1724427)
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scientific article; zbMATH DE number 7022642
| Language | Label | Description | Also known as |
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| English | A stochastic weakly damped, forced KdV-BO equation |
scientific article; zbMATH DE number 7022642 |
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A stochastic weakly damped, forced KdV-BO equation (English)
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14 February 2019
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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 \(H^1(\mathbb{R})\).
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