{
  "id": "1208.0923",
  "version": "v1",
  "published": "2012-08-04T12:55:32.000Z",
  "updated": "2012-08-04T12:55:32.000Z",
  "title": "Convergence to Equilibrium of Some Kinetic Models",
  "authors": [
    "Minh-Binh Tran"
  ],
  "comment": "40 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce in this paper a new approach to the problem of the convergence to equilibrium for kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very well not only for hypocoercive systems in which the coercive parts are degenerate but also for the linearized Boltzmann equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-04T12:55:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76P05",
      "82B40",
      "82C40",
      "82D05"
    ],
    "keywords": [
      "kinetic models",
      "equilibrium",
      "polynomial convergence rate",
      "linearized boltzmann equation",
      "kinetic equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2013.04.013",
      "journal": "Journal of Differential Equations",
      "year": 2013,
      "volume": 255,
      "number": 3,
      "pages": 405
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JDE...255..405T"
    }
  }
}