{"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":"129 12","pages":""},"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}
引用次数: 2
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.
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