Matteo
Novaga (Pavone)

"Curvature evolution of lens-shaped domains"

"Curvature evolution of lens-shaped domains"

I
will discuss curvature flow of planar nonconvex lens-shaped domains,
considered as special symmetric networks with two triple junctions. In
particular, I'll show that the evolving domain becomes convex in finite
time, and then shrinks homothetically to a point. Such result is the
analog of a theorem by Grayson for curvature flow of planar embedded curves.