Global Nonexistence for a Nonlinear Viscoelastic Equation with Nonlinear Damping and Velocity-Dependent Material Density

被引：0
|
作者：
Dang, Jian [1 ]
Hu, Qingying [1 ]
Zhang, Hongwei [1 ]
机构：
[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Henan, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2019年 / 2019卷
基金：
中国国家自然科学基金;
关键词：
EXPONENTIAL-GROWTH; KIRCHHOFF SYSTEMS; UNIFORM DECAY; EXISTENCE; ENERGY;
D O I：
10.1155/2019/8306790
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the initial boundary value problem of a nonlinear viscoelastic equation of Kirchhoff-type with nonlinear damping and velocity-dependent material density. We establish a nonexistence result of global solutions with positive initial energy and negative initial energy, respectively.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Global attractors for the wave equation with nonlinear damping
    Sun, Chunyou
    Yang, Meihua
    Zhong, Chengkui
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 227 (02) : 427 - 443
  • [42] EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH STRONG DAMPING AND NONLINEAR BOUNDARY MEMORY DAMPING TERM
    Park, Jong Yeoul
    Kim, Jung Ae
    DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 605 - 619
  • [43] Velocity-dependent conservative nonlinear oscillators with exact harmonic solutions
    Gottlieb, HPW
    JOURNAL OF SOUND AND VIBRATION, 2000, 230 (02) : 323 - 333
  • [44] Velocity-dependent collision frequency effects in nonlinear spectroscopy of plasma
    Chernykh, AI
    Podivilov, EV
    Shapiro, DA
    11TH INTERNATIONAL VAVILOV CONFERENCE ON NONLINEAR OPTICS, 1998, 3485 : 566 - 571
  • [45] Global existence and nonexistence for nonlinear wave equations with damping and source terms
    Rammaha, MA
    Strei, TA
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (09) : 3621 - 3637
  • [46] Nonexistence of global solutions for a nonlocal nonlinear hyperbolic system with linear damping
    Kerbal, S.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (06) : 621 - 626
  • [47] EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY-CONDITION
    WU, YH
    WANG, MX
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1995, 16 (03) : 371 - 378
  • [48] Global nonexistence for a semilinear wave equation with nonlinear boundary dissipation
    Feng, Hongyinping
    Li, Shengjia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 391 (01) : 255 - 264
  • [49] NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR PARABOLIC EQUATION WITH A FORCING TERM
    Alshehri, Aisha
    Aljaber, Noha
    Altamimi, Haya
    Alessa, Rasha
    Majdoub, Mohamed
    OPUSCULA MATHEMATICA, 2023, 43 (06) : 741 - 758
  • [50] GLOBAL NONEXISTENCE OF ARBITRARY INITIAL ENERGY SOLUTIONS OF VISCOELASTIC EQUATION WITH NONLOCAL BOUNDARY DAMPING
    Geng, Hongrui
    Ma, Jie
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06): : 2019 - 2033
12345