{"title":"On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions","authors":"Abdelaziz Limam, B. Benabderrahmane, Y. Boukhatem","doi":"10.24193/subbmath.2024.1.11","DOIUrl":null,"url":null,"abstract":"This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well-posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss’s theorem.\nMathematics Subject Classification (2010): 35A01, 74B05, 93D15.\nReceived 11 June 2021; Accepted 13 October 2021","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":" 107","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Universitatis Babes-Bolyai Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/subbmath.2024.1.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well-posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss’s theorem.
Mathematics Subject Classification (2010): 35A01, 74B05, 93D15.
Received 11 June 2021; Accepted 13 October 2021
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