{
  "id": "2403.12651",
  "version": "v1",
  "published": "2024-03-19T11:35:59.000Z",
  "updated": "2024-03-19T11:35:59.000Z",
  "title": "Mean-field derivation of Landau-like equations",
  "authors": [
    "José Antonio Carrillo",
    "Shuchen Guo",
    "Pierre-Emmanuel Jabin"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-19T11:35:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean-field derivation",
      "n-particle liouville equation",
      "space homogeneous landau-like equations",
      "stochastic interacting particles",
      "relative entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}