曲线法向流及其相关问题

Normal Flow of a Convex Curve and Related Problems

主要讨论了曲线沿着它的法向向外演化时的情形,并深入研究演化的渐近情形,最后将说明随着时间的不断推移,曲线会越来越圆.

The paper stated here mainly discussed the flow of a convex curve along its normal direction and its asympotic case. Finally, it shows that the curve will get more and more rounder as the time flows.