General decay for a system of nonlinear viscoelastic wave equations with weak damping

被引:0
|
作者
Baowei Feng
Yuming Qin
Ming Zhang
机构
[1] Donghua University,College of Information Science and Technology
[2] Donghua University,Department of Applied Mathematics
来源
关键词
viscoelastic system; general decay; weak damping;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in Rn (n=1,2,3). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends some existing results for a single equation to the case of a coupled system.
引用
收藏
相关论文
共 50 条
  • [31] General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
    Qian Li
    Luofei He
    Boundary Value Problems, 2018
  • [32] NEW GENERAL DECAY RESULT FOR A SYSTEM OF VISCOELASTIC WAVE EQUATIONS WITH PAST HISTORY
    Al-Mahdi, Adel M.
    Al-Gharabli, Mohammad M.
    Messaoudi, Salim A.
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (01) : 389 - 404
  • [33] General decay of solutions for a system of coupled viscoelastic wave equations with source terms
    Hao, Jianghao
    Cai, Li
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) : 1418 - 1425
  • [34] A general decay result of a nonlinear system of wave equations with infinite memories
    Messaoudi, Salim A.
    Al-Gharabli, Mohammad M.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 540 - 551
  • [35] Optimal Decay Result for Wave Equations with Frictional Versus Viscoelastic Damping
    Mustafa, Muhammad, I
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 32 (4) : 1029 - 1046
  • [36] Blow-up results for viscoelastic wave equations with weak damping
    Park, Sun-Hye
    Lee, Mi Jin
    Kang, Jum-Ran
    APPLIED MATHEMATICS LETTERS, 2018, 80 : 20 - 26
  • [37] Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
    Paolucci, Alessandro
    Pignotti, Cristina
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2021, 33 (04) : 617 - 636
  • [38] Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback
    Alessandro Paolucci
    Cristina Pignotti
    Mathematics of Control, Signals, and Systems, 2021, 33 : 617 - 636
  • [39] Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping
    Cavalcanti, Marcelo M.
    Domingos Cavalcanti, Valeria N.
    Soriano, Juan A.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
  • [40] Stochastic Viscoelastic Wave Equations with Nonlinear Damping and Source Terms
    Cheng, Shuilin
    Guo, Yantao
    Tang, Yanbin
    JOURNAL OF APPLIED MATHEMATICS, 2014,