Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: De Gennaro, Daniele, Stuvard, Salvatore
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221784880