On the avoidance principle for codimension 1 space-time Brakke flows
Differential Geometry
2025-09-09 v1
Abstract
We prove that the spacetime Brakke flow constructed by Buet et al. is non-trivial as long as the initial varifold is a union of boundaries of domains of finite perimeter. In the codimension 1 setting, we show that, starting from a smooth boundary, the support of the mass measure of the spacetime Brakke flow coincides with the support of the classical mean curvature flow.
Keywords
Cite
@article{arxiv.2509.06441,
title = {On the avoidance principle for codimension 1 space-time Brakke flows},
author = {Abdelmouksit Sagueni},
journal= {arXiv preprint arXiv:2509.06441},
year = {2025}
}