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A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface
Mouhammad Ghader, Ali Wehbe
In this paper, we study the indirect stability of Timoshenko system with local or global Kelvin-Voigt damping, under fully Dirichlet or mixed boundary conditions. Unlike the result…
Stability results for an elastic-viscoelastic waves interaction systems with localized Kelvin-Voigt damping and with an internal or boundary time delay
Mouhammad Ghader, Rayan Nasser, Ali Wehbe
We investigate the stability of a one-dimensional wave equation with non smooth localized internal viscoelastic damping of Kelvin-Voigt type and with boundary or localized internal…
Stability and Controllability results for a Timoshenko system
Mohammad Akil, Yacine Chitour, Mouhammad Ghader +1
In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko…
The influence of the coefficients of a system of coupled wave equations with fractional damping on its stabilization
Mohammad Akil, Mouhammad Ghader, Ali Wehbe
In this work, we consider a system of two wave equations coupled by velocities in one-dimensional space, with one boundary fractional damping. First, we show that the system is str…
Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities
Farah Abdallah, Yacine Chitour, Mouhammad Ghader +1
In this paper, by means of the Riesz basis approach, we study the stability of a weakly damped system of two second order evolution equations coupled through the velocities. If the…