Asymptotic behavior of plate equations driven by colored noise on unbounded domains

被引：0
|
作者：
Yao, Xiao Bin [1 ]
机构：
[1] Qinghai Minzu Univ, Sch Math & Stat, Xining 810007, Qinghai, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
关键词：
Plate equation; Colored noise; Asymptotic compactness; Random attractor; Unbounded domain; REACTION-DIFFUSION EQUATIONS; CRITICAL EXPONENT; GLOBAL ATTRACTORS; EXISTENCE; DYNAMICS;
D O I：
10.1186/s13661-023-01715-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on R-n. First, we prove the well-posedness of the equation in the natural energy space. Secondly, we define a continuous cocycle associated with the solution operator. Finally, we establish the existence and uniqueness of random attractors of the equation by the uniform tail-ends estimates methods and the splitting technique
引用
收藏
页数：34
相关论文
共 50 条
  • [11] Asymptotic Behavior of Non-autonomous Random Ginzburg-Landau Equations with Colored Noise on Unbounded Thin Domains
    Chen, Zhang
    Li, Lingyu
    FRONTIERS OF MATHEMATICS, 2024, 19 (06): : 1123 - 1151
  • [12] Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains
    Wang, Renhai
    Wang, Bixiang
    BULLETIN OF MATHEMATICAL SCIENCES, 2021, 11 (03)
  • [13] DYNAMICS FOR DELAY PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON UNBOUNDED DOMAINS
    Yao, Xiaobin
    Bai, Yang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 442 - 469
  • [14] Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on RN
    Wang, Renhai
    Shi, Lin
    Wang, Bixiang
    NONLINEARITY, 2019, 32 (11) : 4524 - 4556
  • [15] Asymptotic Behavior of Random Reaction-diffusion Delay Equations Driven by Colored Noise
    Ma, Wenjun
    Ma, Qiaozhen
    TAIWANESE JOURNAL OF MATHEMATICS, 2023, 27 (04): : 759 - 798
  • [16] Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
    Arrieta, JM
    Cholewa, JW
    Dlotko, T
    Rodríguez-Bernal, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (04) : 515 - 554
  • [17] Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains
    Chen, Pengyu
    Wang, Bixiang
    Wang, Renhai
    Zhang, Xuping
    MATHEMATISCHE ANNALEN, 2023, 386 (1-2) : 343 - 373
  • [18] Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains
    Pengyu Chen
    Bixiang Wang
    Renhai Wang
    Xuping Zhang
    Mathematische Annalen, 2023, 386 : 343 - 373
  • [19] Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
    Yao, Xiaobin
    Zhang, Zhang
    COMPLEXITY, 2022, 2022
  • [20] Asymptotic Behavior of Weakly Dissipative Fractional Wave Equations Driven by Superlinear Colored Noise on RN
    Wang, Renhai
    Chen, Pengyu
    Wang, Bixiang
    JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (03)
12345