Boletin de la Sociedad Matematica Mexicana, Volume (30), No (2), Year (2024-5)

Title : ( Thermoelastic laminated beam with nonlocal delay )

Authors: Carlos Raposo , Carlos Nonato , Mohammad Shahrouzi , Jorge Ferreira ,

Citation: BibTeX | EndNote

Abstract

This manuscript deals with a thermoelastic laminated Timoshenko beam with a nonlocal integral condition on the transversal displacement and thermal dissipation in the equation that describes the dynamical of rotate angle. Using the Hille–Yosida Theorem, we prove the existence, uniqueness, and regularity of the solution. For the asymptotic behavior, we apply the energy method. Using suitable multipliers, we construct a Lyapunov functional, and then we obtain the exponential stability. To the best of our knowledge, thermoelastic laminated Timoshenko beams with nonlocal time delay conditions have not been considered previously.

Keywords

Laminated beam · Thermoelasticity · Delay · Asymptotic behavior
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@article{paperid:1104645,
author = {Carlos Raposo and Carlos Nonato and Shahrouzi, Mohammad and Jorge Ferreira},
title = {Thermoelastic laminated beam with nonlocal delay},
journal = {Boletin de la Sociedad Matematica Mexicana},
year = {2024},
volume = {30},
number = {2},
month = {May},
issn = {1405-213x},
keywords = {Laminated beam · Thermoelasticity · Delay · Asymptotic behavior},
}

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%0 Journal Article
%T Thermoelastic laminated beam with nonlocal delay
%A Carlos Raposo
%A Carlos Nonato
%A Shahrouzi, Mohammad
%A Jorge Ferreira
%J Boletin de la Sociedad Matematica Mexicana
%@ 1405-213x
%D 2024

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