{
  "id": "1501.02914",
  "version": "v1",
  "published": "2015-01-13T08:35:56.000Z",
  "updated": "2015-01-13T08:35:56.000Z",
  "title": "Long time behaviour and particle approximation of a generalized Vlasov dynamic",
  "authors": [
    "Manh Hong Duong"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of the probability density of a particle evolving according to a generalised Vlasov dynamic. The achievement of the paper is twofold. Firstly, we obtain a quantitative rate of convergence to the stationary solution in the Wasserstein metric. Secondly, we provide a many-particle approximation for the equation and show that the approximate system satisfies the propagation of chaos property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-13T08:35:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long time behaviour",
      "generalized vlasov dynamic",
      "particle approximation",
      "approximate system satisfies",
      "generalised vlasov equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}