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.
|Titolo:||Curvature evolution of nonconvex lens-shaped domains|
|Appare nelle tipologie:||1.1 Articolo in rivista|