{
  "id": "2011.12584",
  "version": "v1",
  "published": "2020-11-25T08:47:14.000Z",
  "updated": "2020-11-25T08:47:14.000Z",
  "title": "On The Mean Field limit for Cucker-Smale models",
  "authors": [
    "Roberto Natalini",
    "Thierry Paul"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this very short note, we consider the Cucker-Smale dynamical system and we derive rigorously the Vlasov-type equation introduced in [4] in the mean-field limit. The vector field we consider is bounded at infinity in the velocity variables, and Lipschitz continuous in the space variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-25T08:47:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean field limit",
      "cucker-smale models",
      "short note",
      "velocity variables",
      "cucker-smale dynamical system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}