Affiliation:
1. Université de Monastir, Faculté des Sciences de Monastir, Analyse et Contrôle des EDP, UR13ES64, Monastir, Tunisie
Abstract
<p style='text-indent:20px;'>In this paper, we consider a system of two wave equations coupled through zero order terms. One of these equations has an internal damping, and the other has a boundary damping. We investigate stability properties of the system according to the variable strings densities. Indeed, our main result is to show that the corresponding model is not exponentially stable using a spectral theory which forms the center of this work. Otherwise, we establish a polynomial energy decay rate of type <inline-formula><tex-math id="M1">\begin{document}$ \frac{1}{\sqrt{t}}. $\end{document}</tex-math></inline-formula></p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis