TIME-DEPENDENT ATTRACTOR OF THE PLATE EQUATION WITH NONLINEAR DAMPING AND LINEAR MEMORY

被引:2
|
作者
Liu, Tingting [1 ]
Ma, Qiaozhen [1 ]
机构
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou, Gansu, Peoples R China
关键词
plate equation; nonlinear damping; time-dependent attractor; linear memory; contractive functions; CRITICAL EXPONENT; GLOBAL ATTRACTORS; WAVE-EQUATIONS; EXISTENCE; DYNAMICS; STABILITY;
D O I
10.1216/rmj.2020.50.1435
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Based on the method of contractive functions, the existence of the time-dependent global attractor of the plate equation with nonlinear damping and linear memory is proved.
引用
收藏
页码:1435 / 1450
页数:16
相关论文
共 50 条
  • [41] ENERGY DECAY OF A VARIABLE-COEFFICIENT WAVE EQUATION WITH NONLINEAR TIME-DEPENDENT LOCALIZED DAMPING
    Wu, Jieqiong
    Feng, Fei
    Chai, Shugen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [42] Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels
    Li, Yanan
    Yang, Zhijian
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (01) : 679 - 707
  • [43] Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels
    Yanan Li
    Zhijian Yang
    Journal of Dynamics and Differential Equations, 2023, 35 : 679 - 707
  • [44] CRITICAL EXPONENT FOR THE SEMILINEAR WAVE EQUATION WITH TIME-DEPENDENT DAMPING
    Lin, Jiayun
    Nishihara, Kenji
    Zhai, Jian
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (12) : 4307 - 4320
  • [45] Solutions of the generalized KdV equation with time-dependent damping and dispersion
    Yang, Yang
    Tao, Zhao-ling
    Austin, Francis R.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (04) : 1029 - 1035
  • [46] Some remarks about the time-dependent Schrodinger equation with damping
    Wieser, R.
    Yang, C. H.
    JOURNAL OF PHYSICS COMMUNICATIONS, 2019, 3 (10):
  • [47] The time-dependent von Karman plate equation as a limit of 3d nonlinear elasticity
    Abels, Helmut
    Mora, Maria Giovanna
    Mueller, Stefan
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2011, 41 (1-2) : 241 - 259
  • [48] ATTRACTORS FOR WAVE EQUATIONS WITH NONLINEAR DAMPING ON TIME-DEPENDENT SPACE
    Meng, Fengjuan
    Yang, Meihua
    Zhong, Chengkui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (01): : 205 - 225
  • [49] Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping
    R. de la Rosa
    M. L. Gandarias
    M. S. Bruzón
    Nonlinear Dynamics, 2016, 84 : 135 - 141
  • [50] Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping
    de la Rosa, R.
    Gandarias, M. L.
    Bruzon, M. S.
    NONLINEAR DYNAMICS, 2016, 84 (01) : 135 - 141