{
  "id": "1009.3004",
  "version": "v1",
  "published": "2010-09-15T19:31:33.000Z",
  "updated": "2010-09-15T19:31:33.000Z",
  "title": "On the speed of approach to equilibrium for a collisionless gas",
  "authors": [
    "Kazuo Aoki",
    "François Golse"
  ],
  "comment": "22 pages, 1 figure; submitted to Kinetic and Related Models",
  "journal": "Kinetic and Related Models 4 (2011), 87-107",
  "doi": "10.3934/krm.2011.4.87",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform, constant temperature, assuming diffuse reflection of gas molecules on the vessel wall. We establish lower bounds for potential decay rates assuming uniform $L^p$ bounds on the initial distribution function. We also obtain a decay estimate in the spherically symmetric case. We discuss with particular care the influence of low-speed particles on thermalization by the wall.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-15T19:31:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C40",
      "35F10",
      "35B40"
    ],
    "keywords": [
      "collisionless gas",
      "equilibrium",
      "potential decay rates assuming uniform",
      "initial distribution function",
      "assuming diffuse reflection"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3004A"
    }
  }
}