摘要
根据平面上嵌入曲线流的发展演化过程,由其存在的最大有限时间,给出了平面上简单闭曲线所围有限区域的面积和曲线最大曲率平方之间的一个不等式关系.
According to the development and evolution of the flow curve embedded in the plane,through the existing maxium limited time,then,a inequality relationship between the limited area and the maximum curvature of simple planar closed curve is given.
出处
《华北水利水电学院学报》
2009年第2期111-112,共2页
North China Institute of Water Conservancy and Hydroelectric Power
关键词
平面曲线流
等周不等式
演化方程
曲率
planar curve flow
isoperimetric inequality
evolution equation
curvature