3 papers
math.DG2025
Local umbilic, convexity and cylindrical estimates for fully nonlinear curvature flows
Mat Langford, James McCoy
In a recent article, a localization of the Huisken--Stampacchia iteration method was developed, and used to establish localizations of the well-known "umbilic", "convexity" and "cy…
math.CA2025
Linear Semi-discrete Polyharmonic Flows of Closed Polygons
James McCoy, Jahne Meyer
In 2007, Chow and Glickenstein considered a linear semi-discrete analogue of the second-order curve shortening flow for smooth closed curves. In this article, we consider linear se…
math.CA2025
Semi-discrete linear hyperbolic polyharmonic flows of closed polygons
James McCoy, Jahne Meyer
We consider the damped hyperbolic motion of polygons by a linear semi-discrete analogue of polyharmonic curve diffusion. We show that such flows may transition any polygon to any o…