The area preserving curve shortening flow with Neumann free boundary conditions
arXiv:1503.05814
Abstract
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.
57 pages, 5 figures, to appear in Geometric flows