A bi-spatial random attractor is obtained for the stochastic FitzHugh-Nagumo systems on unbounded thin domains when the initial space is L²× L² and the terminate space is Lᵖ× L². Furthermore, we establish the upper semi-continuity of attractors under the p-norm when a family of $(n+1)$-dimensional thin domains degenerates into a n-dimensional unbounded domain.
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Li et al. (2024) studied this question.
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