Piezoelectric beams with magnetic effect and localized damping

Mounir Afilal; Abdelaziz Soufyane; Mauro de Lima Santos

doi:10.3934/mcrf.2021056

Article Contents

2023, Volume 13, Issue 1: 250-264. Doi: 10.3934/mcrf.2021056

This issue Previous Article Eigenvalues of stochastic Hamiltonian systems with boundary conditions and its application Next Article Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations

Piezoelectric beams with magnetic effect and localized damping

1.
Département de Mathématiques et Informatique, Faculté Polydisciplinaire de Safi, Université Cadi Ayyad, Maroc
2.
Department of Mathematics, College of Sciences, University of Sharjah, P.O.Box 27272, Sharjah, UAE
3.
Institute of Exact and Natural Sciences, Doctoral Program in Mathematics. Federal University of Pará, Augusto Corrêa Street, Number 01, 66075-110, Belém-PA-Brazil

^* Corresponding author: Abdelaziz Soufyane
^* Corresponding author: Abdelaziz Soufyane

Received: April 2021

Revised: September 2021

Early access: December 2021

Published: March 2023

The second author is supported by University of Sharjah, grant # 1802144069. The third author is supported by University of Sharjah, CNPq Grant # 303026/2018-9

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Abstract

In this work we are considering a one-dimensional dissipative system of piezoelectric beams with magnetic effect and localized damping. We prove that the system is exponential stable using a damping mechanism acting only on one component and on a small part of the beam.

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Mathematics Subject Classification: Primary: 35Q60, 93D20.

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References

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