具有阻尼和源项的非线性Timoshenko方程的存在性和稳定性结果

IF 0.7 Q4 MECHANICS

Theoretical and Applied Mechanics Pub Date : 2021-01-01 DOI:10.2298/TAM200703002O

Amar Ouaoua, A. Khaldi, M. Maouni

{"title":"具有阻尼和源项的非线性Timoshenko方程的存在性和稳定性结果","authors":"Amar Ouaoua, A. Khaldi, M. Maouni","doi":"10.2298/TAM200703002O","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo?Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time. Finally, the stability result is established based on Komornik?s integral inequality.","PeriodicalId":44059,"journal":{"name":"Theoretical and Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Existence and stability results of a nonlinear Timoshenko equation with damping and source terms\",\"authors\":\"Amar Ouaoua, A. Khaldi, M. Maouni\",\"doi\":\"10.2298/TAM200703002O\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo?Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time. Finally, the stability result is established based on Komornik?s integral inequality.\",\"PeriodicalId\":44059,\"journal\":{\"name\":\"Theoretical and Applied Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/TAM200703002O\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/TAM200703002O","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 2

摘要

本文考虑一类非线性Timoshenko方程。首先，我们用费多?在适当的初始能量为正的假设下，证明了局部存在在时间上是全局的。最后，基于Komornik?S积分不等式。

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

Existence and stability results of a nonlinear Timoshenko equation with damping and source terms

In this paper, we consider a nonlinear Timoshenko equation. First, we prove the local existence solution by the Faedo?Galerkin method, and, under suitable assumptions with positive initial energy, we prove that the local existence is global in time. Finally, the stability result is established based on Komornik?s integral inequality.

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

Theoretical and Applied Mechanics MECHANICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

32 weeks

期刊介绍： Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.