平面中k^(α)型曲线流的规避原理  

The Avoidance Principle of k^(α) Type Curve Flow in the Plane

作　　者：朱孟妍 ZHU Mengyan(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2024年第3期23-29,共7页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(11971355)。

摘　　要：研究了一类曲线收缩流两个不相交解的问题.证明在极值处两曲线之间的距离随时间是不减小的,即证明平面上的曲率流的规避原理.所用的证明方法是极大值原理.In this paper,two disjoint solutions of a class of curve shortening flows are studied.It is proved that the distance between two curves at the extreme value does not decrease with time,that is,the avoidance principle of curvature flow on the plane is proved.The proof method used is the maximum principle.

关 键 词：曲线流 极大值原理 规避原理 

分 类 号：O186[理学—数学]