A non-local area preserving curve flow
Differential Geometry
2012-11-29 v2 Analysis of PDEs
Abstract
In this paper, we consider a kind of area preserving non-local flow for convex curves in the plane. We show that the flow exists globally, the length of evolving curve is non-increasing, and the curve converges to a circle in C^{\infty} sense as time goes into infinity.
Cite
@article{arxiv.0907.1430,
title = {A non-local area preserving curve flow},
author = {Li Ma and Liang Cheng},
journal= {arXiv preprint arXiv:0907.1430},
year = {2012}
}
Comments
14 pages