{"title":"Exponential decay in a porous-elastic system with memory and neutral delay","authors":"Hanni Dridi, Tijani A. Apalara","doi":"10.1007/s13370-024-01229-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study a memory-type porous-elastic system coupled with a neutral delay on the elasticity equation. We construct some appropriate functionals together with modified energy functional and stabilize the system exponentially depending on the wave speed, the weight of the delay, and the relaxation function.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01229-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study a memory-type porous-elastic system coupled with a neutral delay on the elasticity equation. We construct some appropriate functionals together with modified energy functional and stabilize the system exponentially depending on the wave speed, the weight of the delay, and the relaxation function.