Blow-up of Solutions for a Viscoelastic Equation with Nonlinear Boundary Damping and Interior Source

被引:0
|
作者
Li, G. [1 ]
Wang, D. [1 ]
Zhu, B. [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源
AZERBAIJAN JOURNAL OF MATHEMATICS | 2016年 / 6卷 / 02期
关键词
boundary damping term; interior source term; viscoelastic wave equation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we consider the viscoelastic wave equation with nonlinear boundary damping -vertical bar y(t)(L,t)vertical bar(m-1)y(t)(L,t) and interior source vertical bar y(t)vertical bar(p-1)y(t). We obtain two blow-up results for the solution with negative initial energy as well as nonnegative initial energy.
引用
收藏
页码:103 / 116
页数:14
相关论文
共 50 条
  • [31] GROWTH AND BLOW-UP OF VISCOELASTIC WAVE EQUATION SOLUTIONS WITH LOGARITHMIC SOURCE, ACOUSTIC AND FRACTIONAL CONDITIONS, AND NONLINEAR BOUNDARY DELAY
    Choucha, Abdelbaki
    Haiour, Mohamed
    Jan, Rashid
    Shahrouzi, Mohammad
    Agarwal, Praveen
    Abdalla, Mohamed
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025,
  • [32] Blow-up of solutions for nonlinear parabolic equation with nonlocal source and nonlocal boundary condition
    Cui, Zhoujin
    Yang, Zuodong
    Zhang, Rui
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 1 - 8
  • [33] BLOW-UP FOR THE EULER-BERNOULLI VISCOELASTIC EQUATION WITH A NONLINEAR SOURCE
    Yang, Zhifeng
    Fan, Guobing
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [34] General decay and blow-up of solution for a viscoelastic wave equation with nonlinear degenerate damping and source terms
    Yin, Ziyang
    Wang, Shubin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
  • [35] BLOW-UP OF A NONLINEAR VISCOELASTIC WAVE EQUATION WITH DISTRIBUTED DELAY COMBINED WITH STRONG DAMPING AND SOURCE TERMS
    Choucha, Abdelbaki
    Ouchenane, Djamel
    Boulaaras, Salah
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
  • [36] Bounds for the blow-up time of solution to a nonlinear viscoelastic equation with fractional damping
    Rayappan, Saranya
    Aruchamy, Akilandeeswari
    Natarajan, Annapoorani
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (01) : 167 - 179
  • [37] Bounds for the blow-up time of solution to a nonlinear viscoelastic equation with fractional damping
    Saranya Rayappan
    Akilandeeswari Aruchamy
    Annapoorani Natarajan
    International Journal of Dynamics and Control, 2024, 12 (1) : 167 - 179
  • [38] Blow-Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term
    Boulaaras, Salah Mahmoud
    Choucha, Abdelbaki
    Abdalla, Mohamed
    Rajagopal, Karthikeyan
    Idris, Sahar Ahmed
    COMPLEXITY, 2021, 2021
  • [39] General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
    Boulaaras, Salah
    Kamache, Fares
    Bouizem, Youcef
    Guefaifia, Rafik
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [40] General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
    Salah Boulaaras
    Fares Kamache
    Youcef Bouizem
    Rafik Guefaifia
    Boundary Value Problems, 2020