Event

Talk
Evolution of convex lens-shaped networks under curve shortening flow
3 Dec 2007, 16:30 – 17:30

We consider convex symmetric lens-shaped networks in R2 that evolve under curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after appropriate rescaling the evolving networks converge to a self-similarly shrinking network, which we prove to be unique in an appropriate class. We also discuss a classification result for some self-similarly shrinking networks.

Related to:

• Oliver Schnürer