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| 研究生： |
吳菁菁 CHIN CHIN WU |
|---|---|
| 論文名稱： |
兩個DISKS在具有彈性繩子上的平衡位置。 On the equilibrium positions of two-disk on an elastic wire with energy involving arc length |
| 指導教授： |
郭忠勝
Guo, Jong-Shenq |
| 學位類別： |
碩士 Master |
| 系所名稱： |
數學系 Department of Mathematics |
| 論文出版年： | 2003 |
| 畢業學年度： | 91 |
| 語文別： | 中文 |
| 論文頁數： | 17 |
| 中文關鍵詞： | 偏分不等式 |
| 英文關鍵詞： | variational inequality |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：145 下載：0 |
| 分享至: |
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考慮兩個相同大小及重量的disks,任意放在具有彈性的繩子上，達到平衡時的位置。考慮的能量形式為弧長。
We consider two disks of the same sizes and weights G and let them roll freely on a wire which occupied the interval (0,1) in its undeformed postions. We are interested in the position of the equilibrium.
1. A. Aissani and M. Chipot, On the equilibrium position of a
square on an elastic wire, J. Conv. Anal. 8 (2001), 171-195.
2. A. Aissani, M. Chipot, and S. Fouad, On the deformation
of an square on an elastic wire by one or two heavy disks,
Arch. Math. 76 (2001), 467-480.
3. J. Bemelmans and M. Chipot, On a variational problem for
an elastic membrane supporting a heavy ball, Calc. Var. 3
(1995), 447-473.
4. D. Kinderlehrer and G. Stampacchia, An Introduction
to Variational Inequalities and Their Applications, Academic
Press, 1980.
5. J.F. Rodrigues, Obstacle Problems in Mathematical Physics,
North Holland Studies 134, Amsterdam, North Holland, 1987.
