Published Paper
Inserted: 28 may 2009
Last Updated: 10 nov 2018
Journal: J. Reine Angew. Math.
Volume: 656
Pages: 17-46
Year: 2011
Abstract:
We study the curvature flow of planar nonconvex lens-shaped domains, considered as special symmetric networks with two triple junctions. We show that the evolving domain becomes convex in finite time; then it shrinks homothetically to a point. Our theorem is the analog of the result of Grayson for curvature flow of closed planar embedded curves.
Download: