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

被引：0

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

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2024年 / 18卷 / 02期

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

页数：41

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