22 citations · 45 across the 18 of their papers we have counts for
20 papers
Numerical analysis of a finite volume method for a 1-D wave equation with non smooth wave speed and localized Kelvin-Voigt damping
Stéphane Gerbi, Rayan Nasser, Ali Wehbe
In this paper, we study the numerical solution of an elastic/viscoelastic wave equation with non smooth wave speed and internal localized distributed Kelvin-Voigt damping acting fa…
Stability for an interface transmission problem of wave-plate equations with dynamical boundary controls
Zahraa Abdallah, Stéphane Gerbi, Chiraz Kassem +1
We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The tw…
A N-dimensional elastic\viscoelastic transmission problem with Kelvin-Voigt damping and non smooth coefficient at the interface
Mohammad Akil, Ibtissam Issa, Ali Wehbe
We investigate the stabilization of a multidimensional system of coupled wave equations with only one Kelvin Voigt damping. Using a unique continuation result based on a Carleman e…
Indirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping
Mohammad Akil, Ali Wehbe
In this work, we consider a system of multidimensional wave equations coupled by velocities with one localized fractional boundary damping. First, using a general criteria of Arend…
Energy Decay of some boundary coupled systems involving wave Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping
Mohammad Akil, Ibtissam Issa, Ali Wehbe
In this paper, we investigate the energy decay of hyperbolic systems of wave-wave, wave-Euler- Bernoulli beam and beam-beam types. The two equations are coupled through boundary co…
Numerical study of the stabilization of 1D locally coupled wave equations
Stéphane Gerbi, Chiraz Kassem, Amina Mortada +1
In this paper, we study the numerical stabilization of a 1D system of two wave equations coupled by velocities with an internal, local control acting on only one equation. In the t…