<p>In this work, we consider a thermoelastic laminated beam system with microtemperature effects in case of zero thermal conductivity. We prove that the dissipation due to the microtemperatures along with structural damping is strong enough to exponentially stabilize the system irrespective of the wave speeds of the system or any other condition between the system’s coefficients. This result is new and improves earlier results in the literature.</p>

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Exponential stability result of thermoelastic laminated beam with microtemperatures and without thermal conductivity

  • Fayssal Djellali,
  • Mounder Benseghir,
  • Hongwei Zhang,
  • Zayd Hajjej

摘要

In this work, we consider a thermoelastic laminated beam system with microtemperature effects in case of zero thermal conductivity. We prove that the dissipation due to the microtemperatures along with structural damping is strong enough to exponentially stabilize the system irrespective of the wave speeds of the system or any other condition between the system’s coefficients. This result is new and improves earlier results in the literature.