會議論文
| 學年 | 102 |
|---|---|
| 學期 | 1 |
| 發表日期 | 2013-10-21 |
| 作品名稱 | On a free boundary problem for the curvature flow with driving force |
| 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 | France-Taiwan Joint Conference on Nonlinear Partial Differential Equations |
| 會議地點 | 台北市, 台灣 |
| 摘要 | We study a free boundary problem associated with the curvature dependent motion of planar curves in the upper half plane whose two endpoints slide along the horizontal axis with prescribed fixed contact angles. Our first main result concerns the classification of solutions; every solution falls into one of the three categories, namely, area expanding, area bounded and area shrinking types. We then study in detail the asymptotic behavior of solutions in each category. Among other things we show that solutions are asymptotically self-similar both in the area expanding and the area shrinking cases, while solutions converge to either a stationary solution or a traveling wave in the area bounded case. We also prove results on the concavity properties of solutions. |
| 關鍵字 | |
| 語言 | en |
| 收錄於 | |
| 會議性質 | 國內 |
| 校內研討會地點 | |
| 研討會時間 | 20131021~20131025 |
| 通訊作者 | |
| 國別 | TWN |
| 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/987654321/99678 ) |