{"title":"Some aspects of anisotropic curvature flow of planar partitions","authors":"G. Bellettini, S. Kholmatov","doi":"10.21711/217504322023/em382","DOIUrl":null,"url":null,"abstract":"We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smooth anisotropies. Next, we discuss some aspects of the polycrystalline case.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ensaios Matemáticos","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21711/217504322023/em382","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the geometric evolution of a network in the plane, flowing by anisotropic curvature. We discuss local existence of a classical solution in the presence of several smooth anisotropies. Next, we discuss some aspects of the polycrystalline case.
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