scholarly journals Asymptotic Behavior of a Bingham Flow in Thin Domains with Rough Boundary

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Giuseppe Cardone ◽  
Carmen Perugia ◽  
Manuel Villanueva Pesqueira
Keyword(s):  
Asymptotic Behavior ◽  
Rough Boundary ◽  
Thin Domains ◽  
Bingham Flow

Dynamics of stochastic FitzHugh–Nagumo systems with additive noise on unbounded thin domains

2019 ◽  
Vol 20 (03) ◽  
pp. 2050018
Author(s):  
Lin Shi ◽  
Dingshi Li ◽  
Xiliang Li ◽  
Xiaohu Wang
Keyword(s):  
Asymptotic Behavior ◽  
White Noise ◽  
Unbounded Domain ◽  
Existence And Uniqueness ◽  
Additive Noise ◽  
Upper Semicontinuity ◽  
Thin Domains ◽  
Additive White Noise ◽  
Random Attractors ◽  
Lower Dimensional

We investigate the asymptotic behavior of a class of non-autonomous stochastic FitzHugh–Nagumo systems driven by additive white noise on unbounded thin domains. For this aim, we first show the existence and uniqueness of random attractors for the considered equations and their limit equations. Then, we establish the upper semicontinuity of these attractors when the thin domains collapse into a lower-dimensional unbounded domain.

Asymptotic behavior of stochastic FitzHugh-Nagumo systems on unbounded thin domains

2019 ◽  
Vol 267 (7) ◽  
pp. 4373-4409 ◽  
Author(s):  
Lin Shi ◽  
Renhai Wang ◽  
Kening Lu ◽  
Bixiang Wang
Keyword(s):  
Asymptotic Behavior ◽  
Thin Domains
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