A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909188816371712 |
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| author | Jang, Jiwoong |
| author_facet | Jang, Jiwoong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17113 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting Jang, Jiwoong Analysis of PDEs 35B10, 35B27, 35B40, 35B45, 35D40, 35K93, 53E10 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. |
| title | A convergence rate of periodic homogenization for forced mean curvature flow of graphs in the laminar setting |
| topic | Analysis of PDEs 35B10, 35B27, 35B40, 35B45, 35D40, 35K93, 53E10 |
| url | https://arxiv.org/abs/2303.17113 |