On a length preserving curve flow

Li Ma, Anqiang Zhu

Type: Article

Publication Date: 2011-03-28

Citations: 38

DOI: https://doi.org/10.1007/s00605-011-0302-8

Abstract

In this paper, we consider a new length preserving curve flow for closed convex curves in the plane. We show that the flow exists globally, the area of the region bounded by the evolving curve is increasing, and the evolving curve converges to the circle in C ∞ topology as t → ∞.

Locations

Monatshefte für Mathematik - View
arXiv (Cornell University) - View - PDF

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