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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/42668| Title: | 反應擴散方程式行波解的變分結構 A Variational Formula for Traveling Wave Solutions of Reaction-diffusion Equations |
| Authors: | Ryosuke Takahashi 楊劼之 |
| Advisor: | 陳俊全 |
| Keyword: | 變分,行波,反應擴散方程式,雙穩,平移, variational,traveling wave,reaction-diffusion,bistable,translation, |
| Publication Year : | 2009 |
| Degree: | 碩士 |
| Abstract: | 在這篇論文中，我們發現雙穩反應擴散方程式的一個變分結構。透過探討這個結構的特性，並且經由找到一個特定的臨界點，可以證明行波解的存在性。而雙穩系統行波速度的唯一性也將透過這篇論文得到證明。 In this essay, we find a variational structure of the bistable equation. We will show the existence of traveling wave solution by finding a critical point. The uniqueness of the speed of the bistable system is also obtained in this essay. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/42668 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-98-1.pdf Restricted Access | 366.35 kB | Adobe PDF |
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