Mourad Benzahi , Aderrahmane Zaraï , Salah Boulaaras , Rashid Jan , Mujahid Iqbal
{"title":"Blow up and lifespan of solutions for elastic membrane equation with delay","authors":"Mourad Benzahi , Aderrahmane Zaraï , Salah Boulaaras , Rashid Jan , Mujahid Iqbal","doi":"10.1016/j.rinam.2023.100426","DOIUrl":null,"url":null,"abstract":"<div><p>The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy as well as positive initial energy blow up in a finite-time. In addition, this research work provides estimates for the lifespan of these solutions.</p></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"21 ","pages":"Article 100426"},"PeriodicalIF":1.4000,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590037423000729/pdfft?md5=ef6f12911208e4cb02d0afd5186267bc&pid=1-s2.0-S2590037423000729-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590037423000729","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The primary objective of this research is to examine a nonlinear elastic membrane equation incorporating delay and source terms within a bounded domain. We obtain sufficient conditions on the initial data and the involved functionals for which the energy of solutions with non positive initial energy as well as positive initial energy blow up in a finite-time. In addition, this research work provides estimates for the lifespan of these solutions.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
