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| 研究生： |
周鑫壯 Chou, Hsin-Chuang |
|---|---|
| 論文名稱： |
Semidiscrete Elastic Flows of Polygons Semidiscrete Elastic Flows of Polygons |
| 指導教授： |
林俊吉
Lin, Chun-Chi |
| 學位類別： |
碩士 Master |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2019 |
| 畢業學年度： | 107 |
| 語文別： | 英文 |
| 論文頁數： | 20 |
| 中文關鍵詞： | semidiscrete flows 、elastic flows |
| 英文關鍵詞： | semidiscrete flows, elastic flows |
| DOI URL： | http://doi.org/10.6345/NTNU201900297 |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：122 下載：20 |
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無中文摘要
For N a natural number and any given initial equilateral N-gon, we obtain the long-time existence of
smooth solution equilateral N-gons under the semidiscrete second-order evolution equation.
Moreover, we conclude the convexity preserving property during the flow, and from taking a
convergent subsequence, the asymptotic limit is an equilibrium configuration of the evolution
equation.
B. Chow and D. Glickenstein, Semidiscrete geometric flows of polygons. Amer. Math Monthly 114 (2007) 316-328.
D. Glickenstein, and J.-J. Liang, Asymptotic behavior of beta-polygon flows. J. Geom. Anal.(2016).
C.-C. Lin, and Y.-K. Lue, Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in R2. Geometric Flows, Vol. 3, no. 1, pp.14-18, 2018.
K. Nakayama, H. Segur, and M. Wadati, A discrete curve-shortening equation. Mathods Appl. Anal. 4 (1997) 162-172.
