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arXiv · 2509.06441

On the avoidance principle for codimension 1 space-time Brakke flows

Abdelmouksit Sagueni
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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.

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Abdelmouksit Sagueni. 2025-09-08. On the avoidance principle for codimension 1 space-time Brakke flows. https://arxiv.org/abs/2509.06441

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