Calculus of Variations and Geometric Measure Theory

A. Kubin - D. A. La Manna - E. Pasqualetto

A variational approach to the volume-preserving anisotropic mean curvature flow in 2D

created by kubin on 06 Aug 2025

[BibTeX]

Preprint

Inserted: 6 aug 2025

Year: 2025

ArXiv: 2508.03134 PDF

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.