Time global existence of generalized BV flow via the Allen--Cahn equation
Analysis of PDEs
2025-02-28 v3
Abstract
We show that a mean curvature flow obtained as the limit of the Allen--Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by Stuvard and Tonegawa.
Keywords
Cite
@article{arxiv.2312.14442,
title = {Time global existence of generalized BV flow via the Allen--Cahn equation},
author = {Kiichi Tashiro},
journal= {arXiv preprint arXiv:2312.14442},
year = {2025}
}
Comments
15 pages. This paper draws heavily from arXiv:2305.12374. I have fixed minor mistakes. To appear in Interfaces Free Bound