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<p>This work aims to investigate the exponential stability of a one-dimensional thermoelastic laminated beam with structural damping, considering the effect of the heat flux governed by the Coleman–Gurtin thermal law on the effective rotation angle equation. Using the energy method, we demonstrate the exponential stability if the wave speeds are equal. Furthermore, using Gearhart–Herbst–Prüss–Huang’s theorem, we demonstrate the lack of exponential stability if the wave speeds are different.</p>

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Exponential stability of laminated beams with structural damping and Coleman–Gurtin heat law

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  • 发表日期：

    2026年3月23日

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  • Edson A. Coayla-Teran

摘要

This work aims to investigate the exponential stability of a one-dimensional thermoelastic laminated beam with structural damping, considering the effect of the heat flux governed by the Coleman–Gurtin thermal law on the effective rotation angle equation. Using the energy method, we demonstrate the exponential stability if the wave speeds are equal. Furthermore, using Gearhart–Herbst–Prüss–Huang’s theorem, we demonstrate the lack of exponential stability if the wave speeds are different.