Stability of pizoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

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 $t^{-1}$

arXiv commentarXiv admin note: substantial text overlap with arXiv:2102.07538 by other authors

References in corpus (4)

• Modeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects
• Optimal rates of decay for operator semigroups on Hilbert spaces
• On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction
• Stability results of coupled wave models with locally memory in a past history framework via non smooth coefficients on the interface