https://neckpinch.com/authors/deyan-zhang/New arXiv papers by Deyan Zhang, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2404.05267/arxiv:2404.05267Mon, 08 Apr 2024 00:00:00 GMTLaiyuan Gao, Horst Martini, Deyan Zhang — A nonlocal curvature flow is introduced to evolve locally convex curves in the plane. It is proved that this flow with any initial locally convex curve has a global solution, keeping the local convexity and the elastic energy of the evolving curve, and that, as the time goes to infinity, the curve converges to a smooth, locally convex curve of constant k-order width. In particular, the limiting curve is a multiple circle if and only if the initial locally convex curve is k-symmetric.Other curvature flowsAnisotropic & nonlocal flowsLong-time existence & convergence