On a non-local area-preserving curve flow
Differential Geometry
2025-02-25 v1
Abstract
In this paper, we study a new area-preserving curvature flow for closed convex planar curves. This flow will decrease the length of the evolving curve and make the curve more and more circular during the evolution process. And finally, the curve converges to a finite circle in sense as time goes to infinity.
Cite
@article{arxiv.2502.16409,
title = {On a non-local area-preserving curve flow},
author = {Zezhen Sun and Yuting Wu},
journal= {arXiv preprint arXiv:2502.16409},
year = {2025}
}