Energy decay in piezoelectric systems

Abstract

We establish that when a dissipation term is introduced in the equilibrium equations of a piezoelectric body, the energy decays exponentially and we give an estimate of the decay rate.

Keywords:

• piezoelectricity
• dissipative system
• exponential decay

AMS Subject Classification:

• 93D20

Acknowledgements

B. Miara acknowledges the support of the European project INTAS, Research Project for South Caucasian Republics 06-1000017-8886. This work has been done with the support of the FAPESPA-PA-Brazil. In addition M.L. Santos acknowledges the support of the CNPq (306338/2008-4). The authors are thankful to the referees of this article for valuable suggestions which improved this article.