论文标题

离散体积保留平均曲率流的长期行为

Long time behaviour of discrete volume preserving mean curvature flows

论文作者

Morini, Massimiliano, Ponsiglione, Marcello, Spadaro, Emanuele

论文摘要

在本文中,我们分析了Euler隐式方案,以保留平均曲率流量。我们证明,对于与有限周边的任何有限的初始集合,方案与有限体积的有限型结合的指数收敛。

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.

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