Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface

Nonlinearity ◽  
2012 ◽  
Vol 25 (11) ◽  
pp. 3111-3137 ◽  
Author(s):  
Igor Kukavica ◽  
Amjad Tuffaha
Keyword(s):  
Navier Stokes ◽  
Well Posedness ◽  
Free Interface ◽  
Lamé System ◽  
Lame System

Strong solutions to a Navier–Stokes–Lamé system on a domain with a non-flat boundary

Nonlinearity ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 159-176 ◽  
Author(s):  
Igor Kukavica ◽  
Amjad Tuffaha ◽  
Mohammed Ziane
Keyword(s):  
Strong Solutions ◽  
Navier Stokes ◽  
Lamé System ◽  
Lame System

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 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 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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