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math.AP2020
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…
math.AP2020★ 1 cited
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…
math.AP2017★ 3 cited
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…