演講公告

新聞標題：　( 2010-11-26 )

• 演講主題：Using Aleksandrov Reflection to Estimate the Location of the Center of Expansion

• 主講人：林育竹 教授（清華大學數學系）

• 演講日期：2010年12月7日(星期二) 下午2:00 –3:00

• 演講地點：(光復校區)科學一館223室

• 茶會時間：當天下午1:30

• 摘要內容：
  

  (部分數學符號無法正常顯示，原文詳情請見附件)
  In this talk, we investigate the existence of center expansion concerning curve expanding ‡ow in the plane. First under a mild assumption on the speed function, we will show that there exists a center of expansion when we expand a convex embedded closed curve 0 R2 to in…nity. If the center exists, we do not know in general whether it is enclosed by the initial curve 0 or lies outside 0: Using the Aleksandrov re‡ection result of Chow-Gulliver, we shall show that this center of expansion actually lies on certain convex plane region interior to 0: Finally, we observe the relation between the center of expansion and the isoperimetric di¤erence L2 􀀀 4A: According to this observation, we give an explicit example to demonstration that if the assumption of the speed function is not satis…ed, then the center of expansion may not exist in general.

• 相關檔案：12_7 Abstract.pdf




• 相關檔案：演講991207.doc

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