General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type

2010 ◽  
Vol 72 (11) ◽  
pp. 3903-3910 ◽  
Author(s):  
A. Soufyane ◽  
M. Afilal ◽  
T. Aouam ◽  
M. Chacha
Keyword(s):  
Boundary Control ◽  
General Decay ◽  
One Dimensional ◽  
Decay Of Solutions ◽  
Memory Type

scholarly journals Boundary Stabilization of Memory Type for the Porous-Thermo-Elasticity System

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Abdelaziz Soufyane ◽  
Mounir Afilal ◽  
Mama Chacha
Keyword(s):  
Elastic System ◽  
Decay Rates ◽  
General Decay ◽  
Polynomial Decay ◽  
Boundary Stabilization ◽  
One Dimensional ◽  
Elasticity System ◽  
Special Cases ◽  
Memory Type ◽  
The One

We consider the one-dimensional viscoelastic Porous-Thermo-Elastic system. We establish a general decay results. The usual exponential and polynomial decay rates are only special cases.

Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds

2018 ◽  
Vol 24 (8) ◽  
pp. 2361-2373 ◽  
Author(s):  
Baowei Feng ◽  
Mingyang Yin
Keyword(s):  
Point Of View ◽  
General Decay ◽  
Wave Speeds ◽  
One Dimensional ◽  
Elasticity System ◽  
Decay Of Solutions ◽  
With Memory

In previous work, Apalara considered a one-dimensional porous elasticity system with memory and established a general decay of energy for the system in the case of equal-speed wave propagations. In this paper, we extend the result to the case of non-equal wave speeds, which is more realistic from the physics point of view.

scholarly journals On the Stabilization for Laminated Beam with Infinite Memory and Different Speeds of Wave Propagation

2017 ◽  
Author(s):  
Gang Li ◽  
Xiangyu Kong
Keyword(s):  
Wave Propagation ◽  
Differential Equations ◽  
Boundary Control ◽  
Rotation Angle ◽  
General Decay ◽  
Laminated Beam ◽  
Wave Speeds ◽  
Infinite Memory ◽  
One Dimensional ◽  
Order Energy

In this work, we consider a one-dimensional laminated beam in the case of non-equal wave speeds with only one infinite memory on the effective rotation angle. In this case, we establish the general decay result for the energy of solution without any kind of internal or boundary control. The main result is obtained by applying the method used in Guesmia et al. (Electron. J. Differential Equations 193: 1-45, 2012) and the second-order energy.

scholarly journals General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term

2021 ◽  
Vol 52 ◽  
Author(s):  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir
Keyword(s):  
Energy Method ◽  
Elastic System ◽  
Distributed Delay ◽  
General Decay ◽  
Lyapunov Functionals ◽  
One Dimensional ◽  
Delay Term ◽  
Decay Of Solutions ◽  
With Memory

As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.

New general decay of solutions in a porous-thermoelastic system with infinite memory

2021 ◽  
Vol 500 (1) ◽  
pp. 125136
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Salim A. Messaoudi
Keyword(s):  
General Decay ◽  
Infinite Memory ◽  
Decay Of Solutions
Sign in / Sign up

Export Citation Format

Share Document