Asymptotic behavior of thermoelastic systems of laminated Timoshenko beams with Kelvin-Voigt damping.

Autor: Quispe Méndez, Teófanes, Cabanillas, Victor R., Feng, Baowei
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Zdroj: Applicable Analysis; Dec2024, Vol. 103 Issue 18, p3400-3424, 25p
Abstrakt: This paper considers three thermoelastic laminated beam systems with Kelvin-Voigt damping and heat flow described by Fourier's law. First, we show that the system is globally well-posed using the linear operator semigroup approach. The main results are exponential and polynomial stability when the systems are fully and partially damped. We establish the exponential stability of a fully damped system and show the lack of exponential stability for two partially damped systems. Furthermore, we demonstrate its polynomial decay with rate $ t^{-\frac {1}{2}} $ t − 1 2 using frequency domain approach due to Borichev and Tomilov. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index