Differential Geometry Seminar: Implicit time discretization for the mean curvature flow of mean convex sets

Seminar | October 23 | 1-2 p.m. | 891 Evans Hall

 Tim Laux, UC Berkeley

 Department of Mathematics

In 1993, Almgren, Taylor and Wang introduced an implicit time discretization for mean curvature flow which comes as a family of variational problems. The a priori estimate yields weak convergence of the approximations. In the talk I will show that this convergence is in fact strong if the initial conditions are mean convex. In particular, following the work of Luckhaus and Sturzenhecker, the scheme converges to a BV-solution of mean curvature flow. The talk is basic and should be understandable for anybody with some background in geometric analysis.

This is joint work with Guido de Philippis.