On a length preserving curve flow
Differential Geometry
2008-11-14 v1 Analysis of PDEs
Abstract
In this paper, we consider a new length preserving curve flow for convex curves in the plane. We show that the global flow exists, the area of the region bounded by the evolving curve is increasing, and the evolving curve converges to the circle in C-infinity topology as t goes to infinity.
Cite
@article{arxiv.0811.2083,
title = {On a length preserving curve flow},
author = {Li Ma and Anqiang Zhu},
journal= {arXiv preprint arXiv:0811.2083},
year = {2008}
}
Comments
16 pages