具有非全局延时卡塔尼奥定律的热弹性季莫申科系统的多项式稳定性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-12-21 DOI:10.3233/asy-231888

Haidar Badawi, Hawraa Alsayed

引用次数: 0

摘要

在本文中，我们考虑了一个一维热弹性季莫申科系统，其中热通量由卡塔尼奥定律给出，并以时间延迟的方式局部作用于弯矩。我们证明了它的拟合性、强稳定性和多项式稳定性。

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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Polynomial stability of thermoelastic Timoshenko system with non-global time-delayed Cattaneo’s law

In this paper, we consider a one dimensional thermoelastic Timoshenko system in which the heat flux is given by Cattaneo’s law and acts locally on the bending moment with a time delay. We prove its well-posedness, strong stability, and polynomial stability.

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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.