Date/heure
21 octobre 2022
11:00 - 12:00
Oratrice ou orateur
Ali Wehbe (Université libanaise de Beyrouth, Liban)
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
We investigate the energy decay of hyperbolic system of wave-wave with generalized acoustic boundary conditions in N-dimensional space, with the equations being coupled through boundary connection. First, by spectrum approach combining with a general criteria of Arendt-Batty, we prove that our model is strongly stable. Then, after proving that this system lacks the exponential stability, we establish different type of polynomial energy decay rates provided that the coefficients of the acoustic boundary conditions satisfy some assumptions. Further, we present some appropriate examples and show that our assumptions have been set correctly. Finally, we prove that the obtained energy decay rate is optimal in particular case.