A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Analysis of PDEs
2025-08-06 v1
Abstract
In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We show that this algorithm can be used to prove the existence of classical solutions. Moreover, we prove that this algorithm converges to the global solution of the equation.
Keywords
Cite
@article{arxiv.2508.03134,
title = {A variational approach to the volume-preserving anisotropic mean curvature flow in 2D},
author = {Andrea Kubin and Domenico Angelo La Manna and Enrico Pasqualetto},
journal= {arXiv preprint arXiv:2508.03134},
year = {2025}
}
Comments
43 pages