Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms

2010 ◽  
Vol 72 (5) ◽  
pp. 2658-2683 ◽  
Author(s):  
Mohammad A. Rammaha ◽  
Sawanya Sakuntasathien
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Blow Up ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
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 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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