scholarly journals Well-posedness and asymptotic stability for the Lamé system with internal distributed delay

2018 ◽  
Vol 22 (1) ◽  
pp. 31-41 ◽  
Author(s):  
Noureddine Taouaf ◽  
Noureddine Amroun ◽  
Abbes Benaissa ◽  
Abderrahmane Beniani
Keyword(s):  
Asymptotic Stability ◽  
Distributed Delay ◽  
Well Posedness ◽  
Lamé System ◽  
Lame System

scholarly journals Polynomial Decay Rate for a Coupled Lamé System with Viscoelastic Damping and Distributed Delay Terms

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Nadjat Doudi ◽  
Salah Mahmoud Boulaaras ◽  
Ahmad Mohammed Alghamdi ◽  
Bahri Cherif
Keyword(s):  
Lyapunov Functional ◽  
Distributed Delay ◽  
Energy Decay ◽  
Polynomial Decay ◽  
Viscoelastic Damping ◽  
Lamé System ◽  
Relaxation Functions ◽  
General Energy ◽  
Lame System ◽  
Distributed Time Delay

In this paper, we prove a general energy decay results of a coupled Lamé system with distributed time delay. By assuming a more general of relaxation functions and using some properties of convex functions, we establish the general energy decay results to the system by using an appropriate Lyapunov functional.

scholarly journals Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Salah Boulaaras ◽  
Nadjat Doudi
Keyword(s):  
Global Existence ◽  
Lyapunov Functional ◽  
Source Term ◽  
Distributed Delay ◽  
Memory Term ◽  
Lamé System ◽  
Relaxation Functions ◽  
Exponential Energy Decay ◽  
Lame System ◽  
Distributed Time Delay

AbstractIn this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerkin method. In addition, an appropriate Lyapunov functional, more general relaxation functions, and some properties of convex functions are considered.

scholarly journals Well-posedness and exponential stability for coupled Lamé system with a viscoelastic damping

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3591-3598
Author(s):  
Noureddine Taouaf ◽  
Noureddine Amroun ◽  
Abbes Benaissa ◽  
Abderrahmane Beniani
Keyword(s):  
Exponential Stability ◽  
Galerkin Method ◽  
Exponential Decay ◽  
Viscoelastic Damping ◽  
Well Posedness ◽  
Lamé System ◽  
Lame System

In this paper, we consider a coupled Lam? system with a viscoelastic damping in the first equation. We prove well-posedness by using Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyaponov functional.

Sign in / Sign up

Export Citation Format

Share Document