{"title":"Precise asymptotics near a generic S1×R3 singularity of mean curvature flow","authors":"Zhou Gang , Shengwen Wang","doi":"10.1016/j.na.2024.113679","DOIUrl":null,"url":null,"abstract":"<div><div>In the present paper we study a type of generic singularity of mean curvature flow modelled on the bubble-sheet <span><math><mrow><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>×</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span>, and we derive an asymptotic profile for a neighbourhood of singularity.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"251 ","pages":"Article 113679"},"PeriodicalIF":1.3000,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X24001986","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In the present paper we study a type of generic singularity of mean curvature flow modelled on the bubble-sheet , and we derive an asymptotic profile for a neighbourhood of singularity.
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