Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition
Analysis of PDEs
2012-08-30 v1 Probability
Abstract
This work is concerned with a singularly perturbed stochastic nonlinear wave equation with a random dynamical boundary condition. A splitting skill is used to derive the approximating equation of the system in the sense of probability distribution, when the singular perturbation parameter is sufficiently small. The approximating equation is a stochastic parabolic equation when the power exponent of singular perturbation parameter is in , but a deterministic hyperbolic (wave) equation when the power exponent is in .
Cite
@article{arxiv.1208.5947,
title = {Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition},
author = {Guanggan Chen and Jinqiao Duan and Jian Zhang},
journal= {arXiv preprint arXiv:1208.5947},
year = {2012}
}