Stabilization of a piezoelectric system

Article type: Research Article

Authors: Ammari, Kaïs | Nicaise, Serge

Affiliations: Département de Mathématiques, Faculté des Sciences de Monastir, 5019 Monastir, Tunisie. E-mail: kais.ammari@fsm.rnu.tn | Université de Valenciennes et du Hainaut Cambrésis, LAMAV, FR CNRS 2956, Le Mont Houy, 59313 Valenciennes Cedex 9, France. E-mail: snicaise@univ-valenciennes.fr

Abstract: We consider a stabilization problem for a piezoelectric system. We prove an exponential stability result under some Lions geometric condition. Our method is based on an identity with multipliers that allows to show an appropriate observability estimate.

Keywords: elasticity system, Maxwell's system, piezoelectric system, stabilization

DOI: 10.3233/ASY-2011-1033

Journal: Asymptotic Analysis, vol. 73, no. 3, pp. 125-146, 2011