Polynomial stabilization for thermoelastic Reissner–Mindlin–Timoshenko plates with structural damping

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-01-23 DOI:10.3233/asy-231826

A. Ramos, A. Araujo, A. Campelo, M. Freitas, L. S. Veras

引用次数: 0

Abstract

In this paper, we are interested in studying the well-posedness, optimal polynomial stability, and the lack of exponential stability for a class of thermoelastic system of Reissner–Mindlin–Timoshenko plates with structural damping, that is, with the dissipation of Kelvin–Voigt type on the equations for the rotation angles. We also consider the thermal effect with thermal variables described by Fourier’s law of heat conduction.

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具有结构阻尼的热弹性Reissner–Mindlin–Timoshenko板的多项式镇定

在本文中，我们感兴趣的是研究一类具有结构阻尼的Reissner–Mindlin–Timoshenko板热弹性系统的适定性、最优多项式稳定性和缺乏指数稳定性，即具有Kelvin–Voigt型耗散的旋转角方程。我们还考虑了由傅立叶热传导定律描述的具有热变量的热效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.