{
  "id": "1612.05096",
  "version": "v1",
  "published": "2016-12-15T14:58:14.000Z",
  "updated": "2016-12-15T14:58:14.000Z",
  "title": "Entropic convergence and the linearized limit for the Boltzmann equation with external force",
  "authors": [
    "Tina Mai"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "physics.plasm-ph"
  ],
  "abstract": "The purpose of this note, as a compendium, is to extend the results on entropic convergence and the linearized limit for the Boltzmann equation (without external force) in \\cite{Levermore} by Levermore to the case of the Boltzmann equation with external force. More specifically, starting from the Boltzmann equation with an external force introduced in \\cite{DL16} by Ars\\'{e}nio and Saint-Raymond, we find conditions on the force, to maintain the result in \\cite{Levermore} (as an important application of the theory of DiPerna-Lions renormalized solutions) about the validity of the linearization approximation when the initial datum approaches a global Maxwellian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-15T14:58:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q20",
      "35Q99",
      "82C22",
      "82C40",
      "82D10"
    ],
    "keywords": [
      "boltzmann equation",
      "external force",
      "entropic convergence",
      "linearized limit",
      "initial datum approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}