Stochastic inertial manifolds for damped wave equations

Details Stochastic inertial manifolds for damped wave equations Stochastic inertial manifolds for damped wave equations

2006-12-27

arxiv.org/abs/math/0612774v1

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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