高初始能级四阶波动方程的爆破现象

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI:10.3934/dcdss.2023178

Tiantian Pang, Lanlan Qin, Xingchang Wang

{"title":"高初始能级四阶波动方程的爆破现象","authors":"Tiantian Pang, Lanlan Qin, Xingchang Wang","doi":"10.3934/dcdss.2023178","DOIUrl":null,"url":null,"abstract":"This paper deals with the initial boundary value problem of a class of fourth order wave equations with nonlinear strain and linear weak damping terms. By establishing the invariance of the unstable set and a delicate auxiliary function, we give a sufficient condition such that the solution blows up in a finite time at high initial energy level.","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"65 1","pages":"0"},"PeriodicalIF":1.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Blowup phenomena for a fourth order wave equation at high initial energy level\",\"authors\":\"Tiantian Pang, Lanlan Qin, Xingchang Wang\",\"doi\":\"10.3934/dcdss.2023178\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the initial boundary value problem of a class of fourth order wave equations with nonlinear strain and linear weak damping terms. By establishing the invariance of the unstable set and a delicate auxiliary function, we give a sufficient condition such that the solution blows up in a finite time at high initial energy level.\",\"PeriodicalId\":48838,\"journal\":{\"name\":\"Discrete and Continuous Dynamical Systems-Series S\",\"volume\":\"65 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete and Continuous Dynamical Systems-Series S\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/dcdss.2023178\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete and Continuous Dynamical Systems-Series S","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/dcdss.2023178","RegionNum":4,"RegionCategory":"数学","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

研究一类具有非线性应变和线性弱阻尼项的四阶波动方程的初边值问题。通过建立不稳定集的不变性和一个精细的辅助函数，给出了解在有限时间内高初始能级爆炸的充分条件。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Blowup phenomena for a fourth order wave equation at high initial energy level

This paper deals with the initial boundary value problem of a class of fourth order wave equations with nonlinear strain and linear weak damping terms. By establishing the invariance of the unstable set and a delicate auxiliary function, we give a sufficient condition such that the solution blows up in a finite time at high initial energy level.

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

Discrete and Continuous Dynamical Systems-Series S MATHEMATICS, APPLIED-

CiteScore

3.70

自引率

5.60%

发文量

177

期刊介绍： Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.