ABSTRACT: In this talk I will discuss some results about the mean curvature evolutions of the
bounded space-partitions. Using the minimizing movement method of De Giorgi, I show the existence of a locally time-Holder continuous (weak) motion, defined globally in time. In particular, this solution starting from a partition made by a union of bounded convex sets at a positive distance agrees with the classical mean curvature flow, and the motion is stable with respect to the Hausdorff convergence of the initial partitions. This is a joint work with Giovanni Bellettini.
Minimizing movements for mean curvature evolution of partitions
05.07.2017 11:30 - 12:30
Organiser:
P. Piovano
Location: