Long time behaviour of discrete volume preserving mean curvature flows
Analysis of PDEs
2020-08-11 v1
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.
Keywords
Cite
@article{arxiv.2004.04799,
title = {Long time behaviour of discrete volume preserving mean curvature flows},
author = {Massimiliano Morini and Marcello Ponsiglione and Emanuele Spadaro},
journal= {arXiv preprint arXiv:2004.04799},
year = {2020}
}