教師資料查詢 | 類別: 會議論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題:On a free boundary problem for the curvature flow with driving force
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
語言英文
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
國別中華民國
公開徵稿
出版型式
出處
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