{"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":"16 1","pages":"3299 - 3325"},"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}
引用次数: 17
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.
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.
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