高阶拟线性抛物型方程的边界爆破结构

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-11-08 DOI:10.1098/rspa.2004.1297

V. Galaktionov, A. Shishkov

{"title":"高阶拟线性抛物型方程的边界爆破结构","authors":"V. Galaktionov, A. Shishkov","doi":"10.1098/rspa.2004.1297","DOIUrl":null,"url":null,"abstract":"Singularity formation phenomena for 2mth–order quasilinear parabolic equations are studied by using energy estimates related to Saint–Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.","PeriodicalId":20722,"journal":{"name":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Structure of boundary blow-up for higher-order quasilinear parabolic equations\",\"authors\":\"V. Galaktionov, A. Shishkov\",\"doi\":\"10.1098/rspa.2004.1297\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Singularity formation phenomena for 2mth–order quasilinear parabolic equations are studied by using energy estimates related to Saint–Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.\",\"PeriodicalId\":20722,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.2004.1297\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.2004.1297","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 17

摘要

利用与圣维南原理相关的能量估计，研究了二阶拟线性抛物方程的奇点形成现象。建立了由边界、全局和区域爆炸机制产生的奇点传播的尖锐估计。

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

Structure of boundary blow-up for higher-order quasilinear parabolic equations

Singularity formation phenomena for 2mth–order quasilinear parabolic equations are studied by using energy estimates related to Saint–Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.

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

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

自引率

0.00%

发文量

期刊介绍： Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.