{
  "id": "0901.2290",
  "version": "v1",
  "published": "2009-01-15T15:53:32.000Z",
  "updated": "2009-01-15T15:53:32.000Z",
  "title": "Acoustic Limit for the Boltzmann equation in Optimal Scaling",
  "authors": [
    "Yan Guo",
    "Juhi Jang",
    "Ning Jiang"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Based on a recent $L^{2}{-}L^{\\infty}$ framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to Knudsen number is optimal. Our approach is based on a new analysis of the compressible Euler limit of the Boltzmann equation, as well as refined estimates of Euler and acoustic solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-15T15:53:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76P05"
    ],
    "keywords": [
      "boltzmann equation",
      "acoustic limit",
      "optimal scaling",
      "general collision kernels",
      "acoustic solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.2290G"
    }
  }
}