{"title":"Global existence, uniqueness, and asymptotic behavior of solution for the Euler-Bernoulli viscoelastic equation","authors":"M. Mellah, A. Hakem","doi":"10.30538/PSRP-OMA2019.0031","DOIUrl":null,"url":null,"abstract":"Global existence, uniqueness, and asymptotic behavior of solution for the Euler-Bernoulli viscoelastic equation Mohamed Mellah1,∗ and Ali Hakem2 1 Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University of Chlef, Chlef Algeria. 2 Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.; hakemali@yahoo.com * Correspondence: m.mellah@univ-chlef.dz Received: 21 April 2019; Accepted: 8 May 2019; Published: 11 May 2019. Abstract: We study the global existence and uniqueness of a solution to an initial boundary value problem for the Euler-Bernoulli viscoelastic equation utt + ∆2u− g1 ∗ ∆2u + g2 ∗ ∆u + ut = 0. Further, the asymptotic behavior of solution is established.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/PSRP-OMA2019.0031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Global existence, uniqueness, and asymptotic behavior of solution for the Euler-Bernoulli viscoelastic equation Mohamed Mellah1,∗ and Ali Hakem2 1 Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University of Chlef, Chlef Algeria. 2 Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.; hakemali@yahoo.com * Correspondence: m.mellah@univ-chlef.dz Received: 21 April 2019; Accepted: 8 May 2019; Published: 11 May 2019. Abstract: We study the global existence and uniqueness of a solution to an initial boundary value problem for the Euler-Bernoulli viscoelastic equation utt + ∆2u− g1 ∗ ∆2u + g2 ∗ ∆u + ut = 0. Further, the asymptotic behavior of solution is established.