Pré-Publication, Document De Travail Année : 2021

STABILIZATION OF COUPLED WAVE EQUATIONS WITH VISCOUS DAMPING ON CYLINDRICAL AND NON-REGULAR DOMAINS: CASES WITHOUT THE GEOMETRIC CONTROL CONDITION

Résumé

In this paper, we investigate the direct and indirect stability of locally coupled wave equations with local viscous damping on cylindrical and non-regular domains without any geometric control condition. If only one equation is damped, we prove that the energy of our system decays polynomially with the rate t − 1 2 if the two waves have the same speed of propagation, and with rate t − 1 3 if the two waves do not propagate at the same speed. Otherwise, in case of two damped equations, we prove a polynomial energy decay rate of order t −1 .

Fichier principal
Vignette du fichier
Coupled-Square-frictional_5.pdf (465.75 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-03458856 , version 1 (30-11-2021)

Licence

Identifiants

  • HAL Id : hal-03458856 , version 1

Citer

Mohammad Akil, Haidar Badawi, Serge Nicaise, Virginie Régnier. STABILIZATION OF COUPLED WAVE EQUATIONS WITH VISCOUS DAMPING ON CYLINDRICAL AND NON-REGULAR DOMAINS: CASES WITHOUT THE GEOMETRIC CONTROL CONDITION. 2021. ⟨hal-03458856⟩
70 Consultations
257 Téléchargements

Partager

  • More