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

In this paper, we obtain the rate \(O(\varepsilon ^{1/2})\) $O({\epsilon }^{1/2})$ 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.