Calculus of Variations and Geometric Measure Theory

sagueni

Integral Brakke approximate equality for an approximate mean curvature flow

created by sagueni on 30 Sep 2026

[BibTeX]

preprint

Inserted: 30 sep 2026

Year: 2025

ArXiv: 2509.06440 PDF

Abstract:

In this paper we aim to study the consistency of the mean curvature flow via discretization. We will use discretizations by volumetric varifolds, and derive a Brakke approximate equality involving the masses of the volumetric varifolds and their approximate mean curvatures.