{
  "id": "2303.17113",
  "version": "v1",
  "published": "2023-03-30T02:57:06.000Z",
  "updated": "2023-03-30T02:57:06.000Z",
  "title": "On optimal rate of convergence in periodic homogenization of forced mean curvature flow of graphs in the laminar setting",
  "authors": [
    "Jiwoong Jang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-30T02:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B10",
      "35B27",
      "35B40",
      "35B45",
      "35D40",
      "35K93",
      "53E10"
    ],
    "keywords": [
      "forced mean curvature flow",
      "optimal rate",
      "periodic homogenization",
      "convergence",
      "laminar setting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}