# 無拉力曲率流之穩定旋轉螺旋波

 dc.contributor 郭忠勝 zh_TW dc.contributor.author 薛鈞聰 zh_TW dc.contributor.author Chun-Tsung Hsueh en_US dc.date.accessioned 2019-09-05T01:04:21Z dc.date.available 2005-6-20 dc.date.available 2019-09-05T01:04:21Z dc.date.issued 2005 dc.description.abstract 這篇論文是研究無拉力曲率流之穩定旋轉螺旋波的模型。在論文中，首先利用一個變換將原本的積分微分方程化成一個一階的方程組。再藉由相平面的分析得到解的行為，並進而將解分類。接著利用數值的方法畫出這些解所對應的螺旋波，最後也把這些圖形的程式碼附在論文中以供參考。 zh_TW dc.description.abstract In the paper, we study the steadily rotating spirals under the curvature flow with zero driving force. At first, we transfer the integro-differential equation to a first order system. Then, by the phase plane analysis, we obtain the behavior and classification of solutions. Finally, we can draw the corresponding curves of the solutions and we give the code of graphics by Mathematica for your reference. en_US dc.description.sponsorship 數學系 zh_TW dc.identifier G0069240005 dc.identifier.uri http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G0069240005%22.&%22.id.& dc.identifier.uri http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101462 dc.language 英文 dc.subject 穩定旋轉螺旋波 zh_TW dc.subject 曲率流 zh_TW dc.subject 曲率 zh_TW dc.subject 相平面 zh_TW dc.subject steadily rotating spiral wave en_US dc.subject curvature flow en_US dc.subject curvature en_US dc.subject phase plane en_US dc.title 無拉力曲率流之穩定旋轉螺旋波 zh_TW dc.title The Steadily Rotating Spirals under the Curvature Flow with Zero Driving Force en_US

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