A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting

Jiwoong Jang

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arXiv · 2303.17113

A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting

Jiwoong Jang

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Abstract

In this paper, we obtain the rate $O(\varepsilon^{1/2})$ of convergence in periodic homogenization of forced graphical mean curvature flows in the laminated setting. We also discuss with an example that a faster rate cannot be obtained by utilizing Lipscthiz estimates.

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Jiwoong Jang. 2023-03-30. A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting. https://arxiv.org/abs/2303.17113

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