Stochastic inertial manifolds for damped wave equations
Dynamical Systems
2007-05-23 v1 Probability
Abstract
In this paper, stochastic inertial manifold for damped wave equations subjected to additive white noise is constructed by the Lyapunov-Perron method. It is proved that when the intensity of noise tends to zero the stochastic inertial manifold converges to its deterministic counterpart almost surely.
Keywords
Cite
@article{arxiv.math/0612774,
title = {Stochastic inertial manifolds for damped wave equations},
author = {Zhenxin Liu},
journal= {arXiv preprint arXiv:math/0612774},
year = {2007}
}
Comments
18 pages, no figures