Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains

被引:1
|
作者
Li, Fuzhi [1 ]
Li, Dingshi [2 ]
Freitas, Mirelson M. [3 ]
机构
[1] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Peoples R China
[2] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
[3] Fed Univ Para, Fac Math, Raimundo Santana St, BR-68721000 Salinopolis, PA, Brazil
基金
中国国家自然科学基金;
关键词
Stochastic delay p-Laplacian equation; Unbounded thin domain; Random attractors; Upper semicontinuity; REACTION-DIFFUSION EQUATIONS; NAVIER-STOKES EQUATIONS; UPPER SEMI-CONTINUITY; PARABOLIC EQUATIONS; PULLBACK ATTRACTORS; EXISTENCE; BEHAVIOR;
D O I
10.1007/s43037-024-00326-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the long-term behavior of solutions for stochastic delay p-Laplacian equation with multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of tempered random attractors for these equations defined on(n+1)-dimensional unbounded thin domains. Then, the upper semi continuity of these attractors when a family of(n+1)-dimensional thin domains degenerates onto an n-dimensional domain as the thinness measure approaches zero is established.
引用
收藏
页数:41
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