{
  "id": "2204.04923",
  "version": "v1",
  "published": "2022-04-11T07:52:19.000Z",
  "updated": "2022-04-11T07:52:19.000Z",
  "title": "Stability of the ball under volume preserving fractional mean curvature flow",
  "authors": [
    "Annalisa Cesaroni",
    "Matteo Novaga"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the volume constrained fractional mean curvature flow of a nearly spherical set, and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data, under the assumption of global existence. Similarly, we show exponential convergence to a constant for the fractional mean curvature flow of a periodic graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-11T07:52:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "volume preserving fractional mean curvature",
      "preserving fractional mean curvature flow",
      "constrained fractional mean curvature flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}