期刊論文
| 學年 | 106 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2018-03-01 |
| 作品名稱 | Quenching rate for a nonlocal problem arising in the micro-electro mechanical system |
| 作品名稱（其他語言） | |
| 著者 | Jong-Shenq Guo; Bei Hu |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Journal of Differential Equations, 264, 3285- 3311 |
| 摘要 | In this paper, we study the quenching rate of the solution for a nonlocal parabolic problem which arises in the study of the micro-electro mechanical system. This question is equivalent to the stabilization of the solution to the transformed problem in self-similar variables. some a priori estimates are provided. In order to construct a Lyapunov function, due to the lack of time monotonicity property, we then derive some very useful and challenging estimates by a delicate analysis. Finally, with this Lyapunov function, we prove that the quenching rate is self-similar which is the same as the problem without the nonlocal term, except the constant limit depends on the solution itself. |
| 關鍵字 | Quenching;Micro-electro mechanical system (MEMS);Lyapunov function;Non-local;Self-similar;Asymptotic |
| 語言 | en_US |
| ISSN | |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Jong-Shenq Guo |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114915 ) |