arXiv:2303.17113 Abstract | arXiv Analytics

arXiv:2303.17113 [math.AP]Abstract References Reviews Resources

On optimal rate of convergence in periodic homogenization of forced mean curvature flow of graphs in the laminar setting

Published 2023-03-30Version 1

In this paper, we obtain the optimal rate of convergence in periodic homogenization of forced graphical mean curvature flows in the laminated setting. We prove that that a rate of convergence is $O(\varepsilon^{1/2})$ as $\varepsilon\to0$, and we show by examples that this rate of convergence $O(\varepsilon^{1/2})$ as $\varepsilon\to0$ is optimal.

Comments: 16 pages

Categories: math.AP

Subjects: 35B10, 35B27, 35B40, 35B45, 35D40, 35K93, 53E10

Keywords: forced mean curvature flow, optimal rate, periodic homogenization, convergence, laminar setting

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