Long time behaviour of discrete volume preserving mean curvature flows

Abstract

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.

References in corpus (2)

• Minimality via second variation for a nonlocal isoperimetric problem
• Alexandrov's theorem revisited

Cited by in corpus (1)

• Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow