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
相关论文
共 50 条
  • [31] RANDOM ATTRACTORS OF STOCHASTIC REACTION-DIFFUSION EQUATIONS ON VARIABLE DOMAINS
    Crauel, H.
    Kloeden, P. E.
    Yang, Meihua
    STOCHASTICS AND DYNAMICS, 2011, 11 (2-3) : 301 - 314
  • [32] Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped sine-Gordon equation on unbounded domains
    Wang, Zhaojuan
    Liu, Yanan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (07) : 1445 - 1460
  • [33] REGULARITY OF PULLBACK ATTRACTORS AND RANDOM EQUILIBRIUM FOR NON -AUTONOMOUS STOCHASTIC FITZHUGH-NAGUMO SYSTEM ON UNBOUNDED DOMAINS
    Zhao, Wenqiang
    Gu, Anhui
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1285 - 1311
  • [34] Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space
    Ran, Yanping
    Shi, Qihong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (12) : 4612 - 4640
  • [35] Attractors for strongly damped wave equations with critical exponent
    Zhou, SF
    APPLIED MATHEMATICS LETTERS, 2003, 16 (08) : 1307 - 1314
  • [36] RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC PARABOLIC EQUATIONS ON UNBOUNDED DOMAINS
    Lu, Hong
    Qi, Jiangang
    Wang, Bixiang
    Zhang, Mingji
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (02) : 683 - 706
  • [37] Attractors for strongly damped wave equations with critical nonlinearities
    Carvalho, AN
    Cholewa, JW
    PACIFIC JOURNAL OF MATHEMATICS, 2002, 207 (02) : 287 - 310
  • [38] Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains
    Mi, Shaoyue
    Li, Ran
    Li, Dingshi
    APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 90 (03):
  • [39] PULLBACK ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH MULTIPLE VARIABLE DELAYS IN LIPSCHITZ NONLINEARITIES
    Caraballo, Tomas
    Kiss, Gabor
    Taniguchi, Takeshi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (11):
  • [40] Attractors for Damped Quintic Wave Equations in Bounded Domains
    Varga Kalantarov
    Anton Savostianov
    Sergey Zelik
    Annales Henri Poincaré, 2016, 17 : 2555 - 2584
12345