Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus
Differential Geometry
2025-05-23 v2
Abstract
We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting close to a strictly stable critical set of the perimeter , exist for all times and converge to a translate of exponentially fast as time goes to infinity.
Keywords
Cite
@article{arxiv.2305.11100,
title = {Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus},
author = {Daniele De Gennaro and Antonia Diana and Andrea Kubin and Anna Kubin},
journal= {arXiv preprint arXiv:2305.11100},
year = {2025}
}