From the 1 of 9 linked papers with an AI index.
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Delay is Necessary for a Potential to Achieve Exponential Stabilization of the Wave Equation via Internal Control
Crédo Roselin Fanou, Kaïs Ammari, Islam Boussaada
In this work, we study the stabilization of the wave equation using an internal delayed potential. Interestingly, the stabilization mechanism is entirely induced by the delay, sinc…
Regularity and stability of two coupled Euler-Bernoulli equations with a localized singular structural damping
K. Ammari, F. Hassine, L. Tebou
This paper is concerned with the study of regularity and stability properties of two Euler-Bernoulli beam equations with localized singular damping. Under suitable regularity assum…
Numerical stabilization method by switching time-delay
Kaïs Ammari, Stéphane Gerbi
In this paper, we propose a new numerical strategy for the stabilization of evolution systems. The method is based on the methodology given by Ammari, Nicaise andPignotti in ''Stab…
Stability of a degenerate thermoelastic equation
Kaïs Ammari, Fathi Hassine, Luc Robbiano
This work is dedicated to the study of a linear model arising in thermoelastic rod of homogeneous material. The system is resulting from a coupling of a heat and a wave equation in…
Dispersive effects for the Schrödinger equation on finite metric graphs with infinite ends
Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise
We study the free Schrödinger equation on finite metric graphs with infinite ends. We give sufficient conditions to obtain the to time decay rate at least $t^{-1/…
Networks of sign-changing metamaterials: existence and spectral properties
Kaïs Ammari, Eric Bonnetier, Alessandro Duca
We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such medi…