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| 研究生： |
姚志鴻 Chih-Hung Yao |
|---|---|
| 論文名稱： |
一個非線性消失性問題相似解的結構性 The Structure of Self-similar Solutions for a Nonlinear Quenching Problem |
| 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： | 2007 |
| 畢業學年度： | 96 |
| 語文別： | 英文 |
| 論文頁數： | 19 |
| 中文關鍵詞： | 擬線性拋物型方程 、自我相似解 、投射法 |
| 英文關鍵詞： | quasilinear parabolic equation, self-similar solutions, shooting method |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：201 下載：13 |
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這篇論文主要是研究擬線性拋物型方程之非線性邊界值問題的自我相似解。首先對原本的常微分方程作變數變換。然後，研究所對應之常微分方程的邊界值問題，我們利用投射法來證明自我相似解的存在性。
In this paper, we study the self-similar solutions for a quasilinear parabolic eauation with nonlinear boundary condition. At first, we change of variables with respect to the original ordinary differential equation. Then, by considering the boundary value problem, we prove the existence of self-similar solutions by a shooting method.
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