<p>In this article, we investigate the asymptotic behavior of a thermoelastic piezoelectric beam model with magnetic effects, where thermal conduction is described by the Lord–Shulman thermoelastic theory, which incorporates finite heat propagation through a thermal relaxation time. We prove the well-posedness of the system and, using multiplier techniques to construct a suitable Lyapunov functional, we establish the exponential decay of the system’s energy, regardless of the values of the physical parameters considered.</p>

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Exponential decay for piezoelectric beams with magnetic effect and Lord-Shulman thermoelasticity

  • M. L. Araújo,
  • A. J. A. Ramos,
  • C. A. S. Nonato,
  • A. D. S. Campelo,
  • A. S. N. Chairuca

摘要

In this article, we investigate the asymptotic behavior of a thermoelastic piezoelectric beam model with magnetic effects, where thermal conduction is described by the Lord–Shulman thermoelastic theory, which incorporates finite heat propagation through a thermal relaxation time. We prove the well-posedness of the system and, using multiplier techniques to construct a suitable Lyapunov functional, we establish the exponential decay of the system’s energy, regardless of the values of the physical parameters considered.