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- W2945014804 abstract "This article is concerned with the asymptotic behavior of solutions of a class of non-autonomous stochastic Fitzhugh-Nagumo systems driven by multiplicative white noise on unbounded thin domains. The existence and uniqueness of tempered pullback random attractors are proved for the systems defined on (n+1)−dimensional unbounded narrow domains. We also establish the upper semicontinuity of these attractors when a family of (n+1)−dimensional unbounded thin domains collapses onto an n−dimensional unbounded domain. A cut-off method and a decomposition technique are employed to derive the pullback asymptotic compactness of solutions in order to overcome the difficulties caused by the non-compactness of Sobolev embeddings on unbounded domains as well as the lack of regularity of one component of the solutions." @default.
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- W2945014804 date "2019-09-01" @default.
- W2945014804 modified "2023-10-13" @default.
- W2945014804 title "Asymptotic behavior of stochastic FitzHugh-Nagumo systems on unbounded thin domains" @default.
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- W2945014804 doi "https://doi.org/10.1016/j.jde.2019.05.002" @default.
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