An Explicit Lower Bound for Blow Up Time in a Class of Nonlinear Wave Equations with Nonlinear Damping and Source Terms

2021 ◽  
Vol 37 (1) ◽  
pp. 148-154
Author(s):  
Xiao-ming Peng ◽  
Ya-dong Shang ◽  
Xue-qin Wang
Keyword(s):  
Lower Bound ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Blow Up ◽  
Nonlinear Damping ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Explicit Lower Bound ◽  
Damping And Source Terms

Global Existence and Blow-Up of Weak Solutions for Nonlinear Wave Equations

2014 ◽  
Vol 635-637 ◽  
pp. 1565-1568
Author(s):  
Yun Zhu Gao ◽  
Wei Guo ◽  
Tian Luan
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Weak Solutions ◽  
Wave Equations ◽  
Blow Up ◽  
Nonlinear Damping ◽  
Nonlinear Wave Equations ◽  
Potential Well ◽  
Source Terms ◽  
Damping And Source Terms

In this paper, we discuss the nonlinear wave equations with nonlinear damping and source terms. By using the potential well methods, we get a result for the global existence and blow-up of the solutions.

Global Existence and Asymptotic Behavior of Solutions for Nonlinear Wave Equations

2014 ◽  
Vol 490-491 ◽  
pp. 327-330
Author(s):  
Ji Bing Zhang ◽  
Yun Zhu Gao
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Nonlinear Wave Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Potential Well ◽  
Source Terms ◽  
Damping And Source Terms

In this paper, we concern with the nonlinear wave equations with nonlinear damping and source terms. By using the potential well method, we obtain a result for the global existence and asymptotic behavior of the solutions.

scholarly journals Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Liang Fei ◽  
Gao Hongjun
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Initial Energy ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Nonexistence Theorem ◽  
Positive Initial Energy ◽  
Global Nonexistence ◽  
Damping And Source Terms

This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.

scholarly journals On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms

2009 ◽  
Vol 2 (3) ◽  
pp. 583-608 ◽  
Author(s):  
Claudianor O. Alves ◽  
◽  
M. M. Cavalcanti ◽  
Valeria N. Domingos Cavalcanti ◽  
Mohammad A. Rammaha ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Blow Up ◽  
Decay Rates ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Uniform Decay ◽  
Damping And Source Terms
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