{
  "id": "1006.4048",
  "version": "v4",
  "published": "2010-06-21T12:19:17.000Z",
  "updated": "2011-08-13T06:56:54.000Z",
  "title": "The incompressible Euler limit of the Boltzmann equation for a gas of fermions",
  "authors": [
    "Thibaut Allemand"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We are interested in the hydrodynamic limit of the Boltzmann equation for a gas of fermions in the incompressible Euler regime. We use the relative entropy method as improved by Saint-Raymond. Our result is analogous to what is obtained in the classical case, but the treatment is slightly complicated by the cubic nonlinearity of the collision operator.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-08-13T06:56:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incompressible euler limit",
      "boltzmann equation",
      "incompressible euler regime",
      "hydrodynamic limit",
      "relative entropy method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.4048A"
    }
  }
}