General decay of energy for a viscoelastic equation with nonlinear damping

2010 ◽  
Vol 347 (5) ◽  
pp. 806-817 ◽  
Author(s):  
Xiaosen Han ◽  
Mingxin Wang
Keyword(s):  
Nonlinear Damping ◽  
General Decay ◽  
Viscoelastic Equation

scholarly journals General decay rate of a weakly dissipative viscoelastic equation with a general damping

2020 ◽  
Vol 40 (6) ◽  
pp. 647-666
Author(s):  
Khaleel Anaya ◽  
Salim A. Messaoudi
Keyword(s):  
Decay Rate ◽  
Wide Class ◽  
Nonlinear Damping ◽  
Numerical Results ◽  
General Decay ◽  
General Decay Rate ◽  
Relaxation Functions ◽  
Viscoelastic Equation

In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.

General decay of a nonlinear damping porous-elastic system with past history

2019 ◽  
Vol 65 (2) ◽  
pp. 249-275
Author(s):  
Houssem Eddine Khochemane ◽  
Lamine Bouzettouta ◽  
Salah Zitouni
Keyword(s):  
Elastic System ◽  
Past History ◽  
Nonlinear Damping ◽  
General Decay

scholarly journals Global Nonexistence for a Nonlinear Viscoelastic Equation with Nonlinear Damping and Velocity-Dependent Material Density

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Jian Dang ◽  
Qingying Hu ◽  
Hongwei Zhang
Keyword(s):  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Damping ◽  
Initial Energy ◽  
Material Density ◽  
Nonexistence Result ◽  
Nonlinear Viscoelastic ◽  
Global Nonexistence ◽  
Viscoelastic Equation

We consider the initial boundary value problem of a nonlinear viscoelastic equation of Kirchhoff-type with nonlinear damping and velocity-dependent material density. We establish a nonexistence result of global solutions with positive initial energy and negative initial energy, respectively.

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