{
  "id": "1212.3724",
  "version": "v3",
  "published": "2012-12-15T20:39:24.000Z",
  "updated": "2014-07-14T11:20:34.000Z",
  "title": "Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules",
  "authors": [
    "Kleber Carrapatoso"
  ],
  "comment": "52 pages. Typos corrected, improvement on the presentation",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We prove a quantitative propagation of chaos, uniformly in time, for the spatially homogeneous Landau equation in the case of Maxwellian molecules. We improve the results of Fontbona, Gu\\'erin and M\\'el\\'eard \\cite{FonGueMe} and Fournier \\cite{Fournier} where the propagation of chaos is proved for finite time. Moreover, we prove a quantitative estimate on the rate of convergence to equilibrium uniformly in the number of particles.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-14T11:20:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spatially homogeneous landau equation",
      "maxwellian molecules",
      "finite time",
      "quantitative propagation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3724C"
    }
  }
}