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- W2071316268 abstract "By applying Rohlin's result on the classification of homomorphisms of Lebesgue space, the random inertial manifold of a stochastic damped nonlinear wave equations with singular perturbation is proved to be approximated almost surely by that of a stochastic nonlinear heat equation which is driven by a new Wiener process depending on the singular perturbation parameter. This approximation can be seen as the Smolukowski--Kramers approximation as time goes to infinity. However, as time goes infinity, the approximation changes with the small parameter, which is different from the approximation on a finite interval." @default.
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- W2071316268 date "2012-09-01" @default.
- W2071316268 modified "2023-10-14" @default.
- W2071316268 title "Approximation of the random inertial manifold of singularly perturbed stochastic wave equations" @default.
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- W2071316268 doi "https://doi.org/10.48550/arxiv.1209.0090" @default.
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