Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-019-1180-6 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Mi Jin Lee ◽

Jum-Ran Kang ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms

Applied Mathematics ◽

10.4236/am.2015.65076 ◽

2015 ◽

Vol 06 (05) ◽

pp. 806-816 ◽

Author(s):

Liang Guo ◽

Zhaoqin Yuan ◽

Guoguang Lin

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Damping And Source Terms

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On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms

Nonlinear Analysis ◽

10.1016/j.na.2010.11.022 ◽

2011 ◽

Vol 74 (6) ◽

pp. 2175-2190 ◽

Author(s):

Wenjun Liu ◽

Jun Yu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2020.31 ◽

2020 ◽

Vol 2020 (1) ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Distributed Delay ◽

Source Terms ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Stochastic quasilinear viscoelastic wave equation with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-018-0932-z ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Sangil Kim ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms

Applicable Analysis ◽

10.1080/00036811.2020.1836354 ◽

2020 ◽

pp. 1-12

Author(s):

Hongwei Zhang ◽

Donghao Li ◽

Wenxiu Zhang ◽

Qingying Hu

Keyword(s):

Wave Equation ◽

Asymptotic Stability ◽

Blow Up ◽

Nonlinear Damping ◽

Source Terms ◽

Damping And Source Terms ◽

Nonlocal Nonlinear

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Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Journal of Mathematical Physics ◽

10.1063/5.0012614 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071503

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-018-0951-9 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Yuanzhang Zhao ◽

Qingping Wang

Keyword(s):

Blow Up ◽

Nonlinear Damping ◽

Initial Energy ◽

Wave System ◽

Source Terms ◽

Positive Initial Energy ◽

Viscoelastic Wave ◽

Damping And Source Terms ◽

Arbitrarily Positive Initial Energy

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Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-00-05743-9 ◽

2000 ◽

Vol 129 (3) ◽

pp. 793-805 ◽

Author(s):

Howard A. Levine ◽

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Blow Up ◽

Nonlinear Damping ◽

Initial Energy ◽

Source Terms ◽

Positive Initial Energy ◽

The Cauchy Problem ◽

Damping And Source Terms

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Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2020.109105 ◽

2020 ◽

Vol 10 (4) ◽

pp. 299

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Blow Up ◽

Nonlinear Damping ◽

Initial Energy ◽

Energy Solution ◽

Source Terms ◽

Quasilinear Wave Equation ◽

Positive Initial Energy ◽

Damping And Source Terms

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Stochastic quasilinear viscoelastic wave equation with degenerate damping and source terms

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.03.008 ◽

2018 ◽

Vol 75 (11) ◽

pp. 3987-3994

Author(s):

Sangil Kim ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Source Terms ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Damping And Source Terms

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