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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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 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 ◽

Cited By ~ 48

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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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.2020.10031332 ◽

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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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 ◽

Cited By ~ 6

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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Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2019.103026 ◽

2020 ◽

Vol 52 ◽

pp. 103026 ◽

Cited By ~ 1

Author(s):

M.L. Santos ◽

M.M. Freitas ◽

A.J.A. Ramos

Keyword(s):

Binary Mixtures ◽

Blow Up ◽

Nonlinear Damping ◽

Energy Decay ◽

Decay Rates ◽

Source Terms ◽

Energy Decay Rates ◽

Damping And Source Terms

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Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-015-0288-6 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Huafei Di ◽

Yadong Shang

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Asymptotic Behavior Of Solutions ◽

Source Terms ◽

Damping And Source Terms ◽

Dissipative Wave Equation

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Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(97)89469-4 ◽

1998 ◽

Vol 326 (2) ◽

pp. 191-196 ◽

Cited By ~ 23

Author(s):

Grozdena Todorova

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Damping ◽

Source Terms ◽

Damping And Source Terms

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On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms

Boundary Value Problems ◽

10.1186/s13661-015-0395-4 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Erhan Pişkin

Keyword(s):

Blow Up ◽

Hyperbolic Equations ◽

Nonlinear Damping ◽

Source Terms ◽

Quasilinear Hyperbolic Equations ◽

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 ◽

Cited By ~ 38

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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