Please use this identifier to cite or link to this item:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45288| Title: | 圓柱內肥皂泡的存在性 On the Existence of Soap Bubbles in the Cylinder |
| Authors: | Siao-Hao Guo 郭孝豪 |
| Advisor: | 陳金次(Jin-Tzu Chen) |
| Keyword: | 常均曲率,自由邊界問題,有界變差,邊界接觸角,肥皂泡, Constant mean curvature,free boundary problem,bounded variation,capillary condition,soap bubbles, |
| Publication Year : | 2010 |
| Degree: | 碩士 |
| Abstract: | 水管中泡沫的純在性從數學上的角度來看，是一個常均曲率曲面滿足邊界垂直管壁的問題，本文是用固定體積下最小曲面方法來證明這類曲面的純在性。 Mathematically, the existence of soap bubbles in the cylinder is the existence of a constant mean curvature surface which is perpendicular to the wall on boundary. In this article, we use the method of minimizing area with fixed volume to solve the problem. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45288 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-99-1.pdf Restricted Access | 6.87 MB | Adobe PDF |
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