3 papers
math.DS2026
Semi-Discrete Linear Hyperbolic Curvature flow
James McCoy, Rohan St Hill
We consider evolution of piecewise linear curves with boundary by linear hyperbolic curvature flows. Given appropriate boundary behaviours we find corresponding self-similar soluti…
math.AP2026
Length-constrained and length-penalised curve diffusion flows of planar curves inside cones
Mashniah A. Gazwani, James A. McCoy
We study families of smooth, embedded, regular planar curves with generalised Neumann boundary conditions ins…
math.AP2024
Length-constrained, length-penalised and free elastic flows of planar curves inside cones
Mashniah A. Gazwani, James A. McCoy
We study families of smooth, embedded, regular planar curves with generalised Neumann boundary conditions ins…