James A. McCoy

activity

20232026

collaborators

5 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 $α : [- 1, 1] \times [0, T) \to R^{2}$ with generalised Neumann boundary conditions ins…

math.DG2026

On the generalised ideal flow of closed planar curves

James McCoy, Glen Wheeler

For each integer $m \geq 0$ we study the $m$ -ideal energy \[ E_m[γ]:=\frac12\int_γk_{s^m}^2\,ds \] on closed immersed planar curves, where $k$ is signed curvature and $s$ is arclength…

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 $α : [- 1, 1] \times [0, T) \to R^{2}$ with generalised Neumann boundary conditions ins…

math.AP2023

Curvature diffusion of planar curves with generalised Neumann boundary conditions inside cones

Mashniah Gazwani, James McCoy

We study families of smooth immersed regular planar curves $α : [- 1, 1] \times [0, T) \to R^{2}$ satisfying the fourth order nonlinear curve diffus…