Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds

被引：4
|
作者：
Peng, Qingqing [1 ,2 ]
Zhang, Zhifei [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2023年 / 88卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Global attractor; Coupled wave and plate equation; Nonlocal weak damping; Riemannian manifold; COMPOSITE SYSTEM; BEHAVIOR; DYNAMICS; MODELS;
D O I：
10.1007/s00245-023-09998-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the long time behavior for a coupled system on Riemannian manifold consisting of the plate equation and the wave equation with nonlocal weak damping, nonlocal anti-damping and critical nonlinearity. We obtain the existence of the global attractor for the coupled system by semi-group method and multiplier method.
引用
收藏
页数：26
相关论文
共 50 条
  • [1] Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds
    Qingqing Peng
    Zhifei Zhang
    Applied Mathematics & Optimization, 2023, 88
  • [2] THE GLOBAL ATTRACTOR FOR THE WAVE EQUATION WITH NONLOCAL STRONG DAMPING
    Chen, Biyue
    Zhao, Chunxiang
    Zhong, Chengkui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (12): : 6207 - 6228
  • [3] Global attractor for a wave model with nonlocal nonlinear damping
    Zhou, Cong
    Sun, Chunyou
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (02)
  • [4] THE GLOBAL ATTRACTOR FOR A CLASS OF EXTENSIBLE BEAMS WITH NONLOCAL WEAK DAMPING
    Zhao, Chunxiang
    Zhao, Chunyan
    Zhong, Chengkui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (03): : 935 - 955
  • [5] THE WELL-POSEDNESS AND ATTRACTOR ON AN EXTENSIBLE BEAM EQUATION WITH NONLOCAL WEAK DAMPING
    Zhao, Chunxiang
    Meng, Fengjuan
    Zhong, Chengkui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (05): : 2884 - 2910
  • [6] Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping
    Zhao, Chunyan
    Zhao, Chunxiang
    Zhong, Chengkui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 490 (01)
  • [7] Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time-Dependent Space
    Zhao, Chun Xiang
    Meng, Feng Juan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (04) : 1115 - 1126
  • [8] Global attractor for plate equation with nonlinear damping
    Yang, Lu
    Zhong, Cheng-Kui
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3802 - 3810
  • [9] Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
    Zhao, Chunyan
    Zhong, Chengkui
    Yan, Senlin
    APPLIED MATHEMATICS LETTERS, 2022, 128
  • [10] ASYMPTOTIC BEHAVIOR OF THE WAVE EQUATION WITH NONLOCAL WEAK DAMPING, ANTI-DAMPING AND CRITICAL NONLINEARITY
    Zhao, Chunyan
    Zhong, Chengkui
    Tang, Zhijun
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, : 154 - 174
12345