{
  "id": "1802.09668",
  "version": "v1",
  "published": "2018-02-27T01:15:26.000Z",
  "updated": "2018-02-27T01:15:26.000Z",
  "title": "Propagation of chaos for the Keller-Segel equation over bounded domains",
  "authors": [
    "Razvan C. Fetecau",
    "Hui Huang",
    "Weiran Sun"
  ],
  "categories": [
    "math.AP",
    "math.DS",
    "math.PR"
  ],
  "abstract": "In this paper we rigorously justify the propagation of chaos for the parabolic-elliptic Keller-Segel equation over bounded convex domains. The boundary condition under consideration is the no-flux condition. As intermediate steps, we establish the well-posedness of the associated stochastic equation as well as the well-posedness of the Keller-Segel equation for bounded weak solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-27T01:15:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded domains",
      "propagation",
      "parabolic-elliptic keller-segel equation",
      "bounded weak solutions",
      "bounded convex domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}