| Existence of a rotating wave pattern in a disk for a wave front interaction model | |
|---|---|
| 學年 | 101 |
| 學期 | 2 |
| 出版（發表）日期 | 2013-03-01 |
| 作品名稱 | Existence of a rotating wave pattern in a disk for a wave front interaction model |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq; Hirokazu Ninomiya; Wu, Chin-Chin |
| 單位 | 淡江大學數學學系 |
| 出版者 | Springfield: American Institute of Mathematical Sciences |
| 著錄名稱、卷期、頁數 | Communications on pure and applied analysis 12(2), pp.1049-1063 |
| 摘要 | We study the rotating wave patterns in an excitable medium in a disk. This wave pattern is rotating along the given disk boundary with a constant angular speed. To study this pattern we use the wave front interaction model proposed by Zykov in 2007. This model is derived from the FitzHugh-Nagumo equation and it can be described by two systems of ordinary differential equations for wave front and wave back respectively. Using a delicate shooting argument with the help of the comparison principle, we derive the existence and uniqueness of rotating wave patterns for any admissible angular speed with convex front in a given disk. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 1534-0392 1553-5258 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/89161 ) |
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