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math.AP2023
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…
math.AP2021
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…
math.AP2020
Exact controllability and stabilization of locally coupled wave equations : theoretical results
Stéphane Gerbi, Chiraz Kassem, Amina Mortada +1
In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equat…