Abstract
A bi-spatial random attractor is obtained for the stochastic FitzHugh-Nagumo systems on unbounded thin domains when the initial space is $L^2\times L^2$ and the terminate space is $L^p\times L^2$. Furthermore, we establish the upper semi-continuity of attractors under the $p$-norm when a family of $(n+1)$-dimensional thin domains degenerates into an $n$-dimensional unbounded domain.
Citation
Fuzhi Li. Dongmei Xu. "Bi-spatial random attractor for stochastic FitzHugh-Nagumo systems on unbounded thin domain." Topol. Methods Nonlinear Anal. 63 (2) 325 - 347, 2024. https://doi.org/10.12775/TMNA.2022.047
Information