https://neckpinch.com/authors/dong-ho-tsai/New arXiv papers by Dong-Ho Tsai, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1708.04827/arxiv:1708.04827Wed, 16 Aug 2017 00:00:00 GMTNatasa Sesum, Dong-Ho Tsai, Xiao-Liu Wang — We provide sufficient conditions on an initial curve for the area preserving and the length preserving curvature flows of curves in a plane, to develop a singularity at some finite time or converge to an m-fold circle as time goes to infinity. For the area-preserving flow, the positivity of the enclosed algebraic area determines whether the curvature blows up in finite time or not, while for the length-preserving flow, it is the positivity of an energy associated with initial curve that plays such a role.Other curvature flowsVolume-preserving & constrained flowsAnisotropic & nonlocal flowsSingularities