Calculus of Variations and Geometric Measure Theory

M. Morini - M. Ponsiglione - E. Spadaro

Long time behaviour of discrete volume preserving mean curvature flows

created by ponsiglio on 09 Apr 2020



Inserted: 9 apr 2020
Last Updated: 9 apr 2020

Year: 2020


In this paper we analyse the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter.

Keywords: minimizing movements, Variational methods, Geometric evolutions, Rigidity results