{"title":"ASYMPTOTIC STABILITY OF POROUS THERMOELASTIC SYSTEM WITH INFINITE HISTORY, MICROTEMPERATURES EFFECTS AND VARYING DELAY","authors":"Fatima Djeradi, Fares Yazid, Nadhir Chougui","doi":"10.32523/2306-6172-2023-11-3-22-47","DOIUrl":null,"url":null,"abstract":"This work is concerned with a one-dimensional porous thermoelastic system with microtemperatures effects, past history term acting only on the porous equation, and a time- varying delay term in the internal feedbacks. We first give the well-posedness of the system by using the semigroup method. Then, we establish the global existence as well as energy decay results of solutions, under appropriate conditions on the parameters of the problem.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2306-6172-2023-11-3-22-47","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 is concerned with a one-dimensional porous thermoelastic system with microtemperatures effects, past history term acting only on the porous equation, and a time- varying delay term in the internal feedbacks. We first give the well-posedness of the system by using the semigroup method. Then, we establish the global existence as well as energy decay results of solutions, under appropriate conditions on the parameters of the problem.
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