{"title":"关于具有声学边界条件的无限记忆粘弹性波方程耦合系统","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":"{\"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}","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}
On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions
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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