A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms

2019 ◽  
pp. 1-19 ◽  
Author(s):  
Salah Boulaaras
Keyword(s):  
Exponential Decay ◽  
Well Posedness ◽  
Source Terms ◽  
Lamé System ◽  
Decay Of Solutions ◽  
Lame System ◽  
Viscoelastic Term

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.

scholarly journals Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms

2019 ◽  
Vol 8 (2) ◽  
pp. 359-395
Author(s):  
Vo Anh Khoa ◽  
◽  
Le Thi Phuong Ngoc ◽  
Nguyen Thanh Long ◽  
◽  
...  
Keyword(s):  
Exponential Decay ◽  
Blow Up ◽  
Elastic System ◽  
Source Terms ◽  
Decay Of Solutions ◽  
Damping And Source Terms

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 The first mixed problem for the nonstationary Lamé system

2017 ◽  
Vol 47 (8) ◽  
pp. 2731-2756 ◽  
Author(s):  
O.I. Makhmudov ◽  
N. Tarkhanov
Keyword(s):  
Mixed Problem ◽  
Lamé System ◽  
Lame System
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