https://neckpinch.com/authors/yuhan-wu/New arXiv papers by Yuhan Wu, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2001.06140/arxiv:2001.06140Fri, 17 Jan 2020 00:00:00 GMTJames McCoy, Glen Wheeler, Yuhan Wu — We consider the parabolic polyharmonic diffusion and L²-gradient flows of the m-th arclength derivative of curvature for regular closed curves evolving with generalised Neumann boundary conditions. In the polyharmonic case, we prove that if the curvature of the initial curve is small in L², then the evolving curve converges exponentially in the C^∞ topology to a straight horizontal line segment. The same behaviour is shown for the L²-gradient flow provided the energy of the initial curve is sufficiently small. In each case the smallness conditions depend only on m.Other curvature flowsBoundaries & non-compactFree boundary & capillaryLong-time existence & convergence