| Quenching behavior for a singular predator-prey model | |
|---|---|
| 學年 | 100 |
| 學期 | 2 |
| 發表日期 | 2012-07-16 |
| 作品名稱 | Quenching behavior for a singular predator-prey model |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq |
| 作品所屬單位 | 淡江大學數學學系 |
| 出版者 | |
| 會議名稱 | 第九届华东偏微分方程会议暨山西偏微分方程国际会议=9th East China Partial Differential Equations Conference & Shanxi International Conference on Partial Differential Equations |
| 會議地點 | Shanxi, China |
| 摘要 | We study the quenching behavior for a system of two reaction-diffusion equations arising in the modelling of the spatio-temporal interaction of prey and predator populations in fragile environment. We first provide some sufficient conditions on the initial data to have finite time quenching. Then we classify the initial data to distinguish type I quenching and type II quenching, by introducing a delicate energy functional along with the help of some a priori estimates. Finally, we present some results on the quenching set. It can be a singleton, the whole domain, or a compact subset of the domain. This is a joint work with Arnaud Ducrot from Bordeaux, France. |
| 關鍵字 | |
| 語言 | en |
| 收錄於 | |
| 會議性質 | 國際 |
| 校內研討會地點 | |
| 研討會時間 | 20120716~20120719 |
| 通訊作者 | |
| 國別 | CHN |
| 公開徵稿 | |
| 出版型式 | |
| 出處 | |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99681 ) |
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