{
  "id": "2407.18868",
  "version": "v1",
  "published": "2024-07-26T16:55:56.000Z",
  "updated": "2024-07-26T16:55:56.000Z",
  "title": "Asymptotic behavior of a diffused interface volume-preserving mean curvature flow",
  "authors": [
    "Matteo Bonforte",
    "Francesco Maggi",
    "Daniel Restrepo"
  ],
  "comment": "51 pages",
  "categories": [
    "math.AP",
    "math.DG",
    "math.OC"
  ],
  "abstract": "We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single \"diffused balls\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-26T16:55:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "interface volume-preserving mean curvature flow",
      "diffused interface volume-preserving mean curvature",
      "asymptotic behavior",
      "diffused interface version",
      "euclidean space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}