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

Andrea Kubin; Domenico Angelo La Manna; Enrico Pasqualetto

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arXiv · 2508.03134

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

Andrea Kubin·Domenico Angelo La Manna·Enrico Pasqualetto

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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.

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Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto. 2025-08-05. A variational approach to the volume-preserving anisotropic mean curvature flow in 2D. https://arxiv.org/abs/2508.03134

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