scholarly journals Cauchy problem for a nonlinear viscoelastic equation with nonlinear damping and source terms

2011 ◽  
Vol 24 (8) ◽  
pp. 1275-1281 ◽  
Author(s):  
Liqing Lu ◽  
Shengjia Li
Keyword(s):  
Cauchy Problem ◽  
Nonlinear Damping ◽  
Source Terms ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Equation ◽  
Damping And Source Terms

Blow Up of Solutions for a Viscoelastic System with Damping and Source Terms in IRn

2010 ◽  
Vol 65 (5) ◽  
pp. 392-400 ◽  
Author(s):  
Wenjun Liu
Keyword(s):  
Cauchy Problem ◽  
Blow Up ◽  
Coupled System ◽  
Initial Energy ◽  
Source Terms ◽  
Viscoelastic System ◽  
Positive Initial Energy ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Equations ◽  
Damping And Source Terms

This paper deals with a Cauchy problem for the coupled system of nonlinear viscoelastic equations with damping and source terms. We prove a new finite time blow-up result for compactly supported initial data with non-positive initial energy as well as positive initial energy by using the modified energy method and the compact support technique.

scholarly journals Blow-Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Salah Mahmoud Boulaaras ◽  
Abdelbaki Choucha ◽  
Mohamed Abdalla ◽  
Karthikeyan Rajagopal ◽  
Sahar Ahmed Idris
Keyword(s):  
Blow Up ◽  
Quasilinear System ◽  
Source Terms ◽  
Nonlinear Viscoelastic ◽  
Viscoelastic Equation ◽  
Viscoelastic Equations ◽  
Damping And Source Terms

In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and source terms without the Kirchhoff term. Under suitable hypothesis, we study the blow-up of solutions.

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