带吊杆和Kelvin-Voigt阻尼的Timoshenko热梁系统

IF 1.3 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-05-19 DOI:10.3389/fams.2023.1153071

S. E. Mukiawa, Yasir Khan, Hamdan Al Sulaimani, M. Omaba, C. Enyi

{"title":"带吊杆和Kelvin-Voigt阻尼的Timoshenko热梁系统","authors":"S. E. Mukiawa, Yasir Khan, Hamdan Al Sulaimani, M. Omaba, C. Enyi","doi":"10.3389/fams.2023.1153071","DOIUrl":null,"url":null,"abstract":"In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition. 2010 MSC: 35D30, 35D35, 35B35.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping\",\"authors\":\"S. E. Mukiawa, Yasir Khan, Hamdan Al Sulaimani, M. Omaba, C. Enyi\",\"doi\":\"10.3389/fams.2023.1153071\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition. 2010 MSC: 35D30, 35D35, 35B35.\",\"PeriodicalId\":36662,\"journal\":{\"name\":\"Frontiers in Applied Mathematics and Statistics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Frontiers in Applied Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3389/fams.2023.1153071\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers in Applied Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3389/fams.2023.1153071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 2

摘要

在本研究中，我们考虑了一个具有吊杆和Kelvin–Voigt阻尼类型的热Timoshenko梁系统，其中热量由Cattaneo定律给出。利用已有的半群理论和能量方法，我们建立了弱全局解的存在性和唯一性，并得到了指数稳定性的结果。该结果是在不施加等波传播速度条件的情况下获得的。2010年硕士：35D30，35D35，35B35。

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

Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness of weak global solution, and an exponential stability result. The results are obtained without imposing the equal-wave speed of propagation condition. 2010 MSC: 35D30, 35D35, 35B35.

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