無拉力曲率流之穩定旋轉螺旋波

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。

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.