Evolving convex curves by a generalized length-preserving flow
Differential Geometry
2025-04-03 v2 Analysis of PDEs
Abstract
This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity.
Keywords
Cite
@article{arxiv.2012.11549,
title = {Evolving convex curves by a generalized length-preserving flow},
author = {Laiyuan Gao and Shengliang Pan},
journal= {arXiv preprint arXiv:2012.11549},
year = {2025}
}
Comments
31 pages