Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/85200| Title: | 平均曲率流的圓柱型奇異點的回顧 A Review on Cylindrical Singularity in Mean Curvature Flow |
| Authors: | Sheng-Hao Yang 楊盛皓 |
| Advisor: | 郭孝豪(Siao-Hao Guo) |
| Keyword: | 平均曲率流,圓柱型奇異點,退化 Neckpinch,長時間穩定性,Lojasiewicz 不等式, Mean Curvature Flow,Cylindrical Singularity,Degenerate Neckpinch,Long-time Stability,Lojasiewicz Inequality, |
| Publication Year : | 2022 |
| Degree: | 碩士 |
| Abstract: | 這篇文章回顧了圓柱型奇異點的一些結果，特別是退化情況。首先是 AngenentVelázquenz 的特殊解，以及 Colding-Minicozzi 關於收斂到圓柱的結果 Several past results on the cylindrical singularity and in particular its degenerated case where there is a tip region is reviewed. First is Angenent-Velázquenz example, which follows by Colding-Minicozzi result on the convergence to the unit multiplicity cylinder. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/85200 |
| DOI: | 10.6342/NTU202201987 |
| Fulltext Rights: | 同意授權(限校園內公開) |
| metadata.dc.date.embargo-lift: | 2022-08-10 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| U0001-0208202218542200.pdf Access limited in NTU ip range | 1.3 MB | Adobe PDF |
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