热效应下Timoshenko模型的指数稳定性

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2025-05-13 DOI:10.21136/AM.2025.0161-24

Luiz Gutemberg Rosário Miranda, Bruno Magalhães Alves

{"title":"热效应下Timoshenko模型的指数稳定性","authors":"Luiz Gutemberg Rosário Miranda, Bruno Magalhães Alves","doi":"10.21136/AM.2025.0161-24","DOIUrl":null,"url":null,"abstract":"<div><p>We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.</p></div>","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"70 2","pages":"149 - 168"},"PeriodicalIF":0.7000,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential stability for Timoshenko model with thermal effect\",\"authors\":\"Luiz Gutemberg Rosário Miranda, Bruno Magalhães Alves\",\"doi\":\"10.21136/AM.2025.0161-24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.</p></div>\",\"PeriodicalId\":55505,\"journal\":{\"name\":\"Applications of Mathematics\",\"volume\":\"70 2\",\"pages\":\"149 - 168\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-05-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applications of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.21136/AM.2025.0161-24\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.21136/AM.2025.0161-24","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

通过构造Lyapunov泛函，对热效应下的timoshenko型系统进行了指数衰减分析。更准确地说，这种热效应是作为一种机制，耗散由梁的弯曲产生的能量，只作用于垂直位移方程，不同于文献中已有的其他工作。此外，我们还利用半群理论证明了问题的良好定位。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Exponential stability for Timoshenko model with thermal effect

We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.