Consistency for the surface diffusion flat flow in three dimensions
Analysis of PDEs
2025-02-20 v1
Abstract
We investigate the flat flow solution for the surface diffusion equation via the discrete minimizing movements scheme proposed by Cahn and Taylor. We prove that in dimension three the scheme converges to the unique smooth solution of the equation, provided that the initial set is sufficiently regular.
Keywords
Cite
@article{arxiv.2502.13556,
title = {Consistency for the surface diffusion flat flow in three dimensions},
author = {Marco Cicalese and Nicola Fusco and Vesa Julin and Andrea Kubin},
journal= {arXiv preprint arXiv:2502.13556},
year = {2025}
}