scholarly journals The influence of damping and source terms on solutions of nonlinear wave equations

2007 ◽  
Vol 25 (1-2) ◽  
Author(s):  
Mohammad Rammaha
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Damping And Source Terms

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

scholarly journals Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Erhan Pişkin
Keyword(s):  
Initial Data ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Initial Boundary ◽  
Initial Energy ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Positive Initial Energy ◽  
Damping And Source Terms ◽  
Growth Of Solutions

We consider initial-boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.

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