Mathematics > Analysis of PDEs
[Submitted on 5 Aug 2025
]
Title: A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Title: 一种用于二维体积保持各向异性平均曲率流的变分方法
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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