Mathematics – Dynamical Systems
Scientific paper
2006-12-27
Mathematics
Dynamical Systems
18 pages, no figures
Scientific paper
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.
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