Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains

Details Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded Domains

2008-05-31

arxiv.org/abs/0806.0100v1

Mathematics

Analysis of PDEs

32 pages

Scientific paper

The existence of a random attractor for the stochastic FitzHugh-Nagumo system
defined on an unbounded domain is established. The pullback asymptotic
compactness of the stochastic system is proved by uniform estimates on
solutions for large space and time variables. These estimates are obtained by a
cut-off technique.

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