有延迟的弹性膜方程的炸开和解的寿命

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2023-12-26 DOI:10.1016/j.rinam.2023.100426

Mourad Benzahi , Aderrahmane Zaraï , Salah Boulaaras , Rashid Jan , Mujahid Iqbal

{"title":"有延迟的弹性膜方程的炸开和解的寿命","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":"{\"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}","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

摘要

本研究的主要目的是在有界域内研究包含延迟项和源项的非线性弹性膜方程。我们获得了初始数据和相关函数的充分条件，对于这些条件，具有非正初始能量和正初始能量的解的能量会在有限时间内炸毁。此外，这项研究工作还为这些解的寿命提供了估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Blow up and lifespan of solutions for elastic membrane equation with delay

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days