Pullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains

被引：0
|
作者：
Yang, Li [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 12期
关键词：
strongly damped wave equation; variable delays; random attractor; asymptotical compactness; tail-estimates; REACTION-DIFFUSION EQUATIONS; ASYMPTOTIC-BEHAVIOR; PARABOLIC EQUATIONS; LIMITING DYNAMICS; STOKES EQUATIONS; ADDITIVE NOISE;
D O I：
10.3934/math.2021793
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the asymptotic behavior of solutions to stochastic strongly damped wave equations with variable delays on unbounded domains, which is driven by both additive noise and deterministic non-autonomous forcing. We first establish a continuous cocycle for the equations. Then we prove asymptotic compactness of the cocycle by tail-estimates and a decomposition technique of solutions. Finally, we obtain the existence of a tempered pullback random attractor.
引用
收藏
页码：13634 / 13664
页数：31
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