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| 研究生： |
陳彥宇 Yan-Yu Chen |
|---|---|
| 論文名稱： |
催化抑制動力系統的解的爆破行為 Blow-up behavior for solution of a kinetic activator-inhibitor system |
| 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： | 2009 |
| 畢業學年度： | 97 |
| 語文別： | 英文 |
| 論文頁數： | 15 |
| 中文關鍵詞： | 催化劑-抑制劑 、動力系統 、同時爆破 、非同時爆破 、爆破速率 |
| 英文關鍵詞： | activator-inhibitor, kinetic system, simultaneous blow-up, non-simultaneous blow-up, blow-up rate |
| 論文種類： | 學術論文 |
| 相關次數： | 點閱：150 下載：1 |
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我們研究有關一個催化劑-抑制劑之動力系統的爆破行為。首先，我們給爆破解存在的充分條件。而爆破解的行為分為同時爆破及非同時爆破兩種情況。然後，我們得到他們的爆破速率。最後，我們證明對於任意給定的爆破時間，同時爆破或非同時爆破解的存在性。
We study the blow-up behaviors of solutions for a kinetic system related to an activator-inhibitor system. First, we give a sufficient condition for the existence of blow-up solutions. There are cases of simultaneous and non-simultaneous blow-up. We then derive the blow-up rates for both cases. Finally, we prove the existence of simultaneous and non-simultaneous blow-up solutions for any given blow-up time.
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