7 citations · 11 across the 4 of their papers we have counts for
4 papers
The length-constrained ideal curve flow
James McCoy, Glen Wheeler, Yuhan Wu
A recent article by the first two authors together with B Andrews and V-M Wheeler considered the so-called `ideal curve flow', a sixth order curvature flow that seeks to deform clo…
Higher order curvature flows of plane curves with generalised Neumann boundary conditions
James McCoy, Glen Wheeler, Yuhan Wu
We consider the parabolic polyharmonic diffusion and -gradient flows of the -th arclength derivative of curvature for regular closed curves evolving with generalised Neuman…
Length-constrained curve diffusion
James McCoy, Glen Wheeler, Yuhan Wu
We show that any initial closed curve suitably close to a circle flows under length-constrained curve diffusion to a round circle in infinite time with exponential convergence. We…
A sixth order flow of plane curves with boundary conditions
James McCoy, Glen Wheeler, Yuhan Wu
We show that small energy curves under a particular sixth order curvature flow with generalised Neumann boundary conditions between parallel lines converge exponentially in the smo…