preprint

Inserted: 14 oct 2026
Last Updated: 14 oct 2026

Year: 2026

Abstract:

We show that, in ambient dimension at most seven, varifold limits of the minimizing movements scheme introduced by Almgren--Taylor--Wang and Luckhaus--Sturzenhecker are integral Brakke flows. As a consequence, we show that $L^1$-limit points of the scheme, usually known as flat flows, are generalized BV flows. The result is unconditional and, in particular, remains valid even in the absence of energy convergence and in the presence of fattening.

Tags: SiGmA