請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45288完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳金次(Jin-Tzu Chen) | |
| dc.contributor.author | Siao-Hao Guo | en |
| dc.contributor.author | 郭孝豪 | zh_TW |
| dc.date.accessioned | 2021-06-15T04:12:33Z | - |
| dc.date.available | 2011-02-04 | |
| dc.date.copyright | 2010-02-04 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-01-25 | |
| dc.identifier.citation | [1] E. Giusti, Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Scuola Norm. Sup. Pisa IV.3 (1976), 501-548.
[2] E. Giusti, Generalized solutions for the mean curvature equation, Pacific J. Math. Vol.88 2 (1980), 297-321. [3] E. Giusti, On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions, Invent. Math. 46 (1978), 111-137. [4] E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Notes on Pure Math., Australian National Univ., Canberra (1977). [5] J.-T. Chen, On the existence of capillary free surfaces in the absence of gravity, Pacific J. Math. Vol.88 2 (1980), 323-361. [6] C. Gerhadt, Existence, regularity, and boundary behavior of generalized surfaces of prescribed mean curvature, Math. Z. 139 (1974), 173-198. [7] R. Finn, Equilibrium capillary surfaces, New York: Springer-Verlag (1986). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/45288 | - |
| dc.description.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。 | zh_TW |
| dc.description.abstract | 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. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T04:12:33Z (GMT). No. of bitstreams: 1 ntu-99-R96221006-1.pdf: 7036902 bytes, checksum: 2130ab94404ef0d23a38a0b03b7c8860 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 1) Introduction p.2
2) Unstable Equilibrium p.4 3) Stable Domain p.9 4) Maximal Domain p.15 5) Appendices p.19 6) References p.20 | |
| dc.language.iso | en | |
| dc.subject | 有界變差 | zh_TW |
| dc.subject | 肥皂泡 | zh_TW |
| dc.subject | 自由邊界問題 | zh_TW |
| dc.subject | 邊界接觸角 | zh_TW |
| dc.subject | 常均曲率 | zh_TW |
| dc.subject | capillary condition | en |
| dc.subject | Constant mean curvature | en |
| dc.subject | soap bubbles | en |
| dc.subject | free boundary problem | en |
| dc.subject | bounded variation | en |
| dc.title | 圓柱內肥皂泡的存在性 | zh_TW |
| dc.title | On the Existence of Soap Bubbles in the Cylinder | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王藹農(Ai-Nung Wang),黃振芳(Jenn-Fang Hwang) | |
| dc.subject.keyword | 常均曲率,自由邊界問題,有界變差,邊界接觸角,肥皂泡, | zh_TW |
| dc.subject.keyword | Constant mean curvature,free boundary problem,bounded variation,capillary condition,soap bubbles, | en |
| dc.relation.page | 20 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2010-01-25 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| ntu-99-1.pdf 未授權公開取用 | 6.87 MB | Adobe PDF |
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