Well-posedness and exponential stability for a piezoelectric beams system with magnetic and thermal effects in the presence of past history
Keywords:
Piezoelectric beams, past history, semigroup approach, Lyapunov functional, energy method, exponential stabilityAbstract
In this article, we consider the one-dimensional system of piezoelectric beams with thermal and magnetic effects in the presence of an infinite memory term acting on the mechanical equation. Under appropriate assumptions on the kernel, we prove that the system is well-posed in the sense of semigroup and by constructing a suitable Lyapunov functional. We establish that the system is exponentially stable. Moreover,our result does not depend on any relationship between system parameters.
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Published
2023-12-31
Issue
Section
Regular
How to Cite
Well-posedness and exponential stability for a piezoelectric beams system with magnetic and thermal effects in the presence of past history. (2023). Journal of Prime Research in Mathematics, 19(2), 116–134. https://jprm.sms.edu.pk/index.php/jprm/article/view/219