Stability of pizoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law
Mohammad Akil
TL;DR
This paper analyzes the stabilization of piezoelectric beams with magnetic effects under Coleman-Gurtin and Gurtin-Pipkin thermal laws, demonstrating exponential and polynomial decay rates respectively.
Contribution
It provides the first stability analysis for piezoelectric beams with magnetic effects under these specific thermal laws, establishing decay rates for both models.
Findings
Exponential stability for the Coleman-Gurtin system.
Polynomial decay rate of t^{-1} for the Gurtin-Pipkin system.
New insights into thermal effects on piezoelectric beam stabilization.
Abstract
In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin )-Gurtin thermal law with magnetic effect. First, we study the Piezoelectric-Coleman-Gurtin system and we obtain an exponential stability result. Next, we consider the Piezoelectric-Gurtin-Pipkin system and we establish a polynomial energy decay rate of type
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Taxonomy
TopicsStability and Controllability of Differential Equations · Nonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering