James A. McCoy

collaborators

3 papers

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

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 \[ E_m[Î³]:=\frac12\int_Î³k_{s^m}^2\,ds \] on closed immersed planar curves, where $k$ is signed curvature and $s$ is arcleng…

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