A sixth order flow of plane curves with boundary conditions
Analysis of PDEs
2017-10-27 v1
Abstract
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 smooth topology in infinite time to straight lines.
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Cite
@article{arxiv.1710.09546,
title = {A sixth order flow of plane curves with boundary conditions},
author = {James McCoy and Glen Wheeler and Yuhan Wu},
journal= {arXiv preprint arXiv:1710.09546},
year = {2017}
}
Comments
6 pages