{
  "id": "1604.05760",
  "version": "v1",
  "published": "2016-04-19T21:49:34.000Z",
  "updated": "2016-04-19T21:49:34.000Z",
  "title": "The Boltzmann equation with weakly inhomogeneous data in bounded domain",
  "authors": [
    "Yan Guo",
    "Shuangqian Liu"
  ],
  "comment": "14 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior in the case that the initial data is close enough to a radially symmetric homogeneous datum. The result extends the case of Cauchy problem considered by Arkeryd-Esposito-Pulvirenti [Comm. Math. Phys. 111(3): 393-407 (1987)] to the specular reflection boundary value problem in bounded domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-19T21:49:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boltzmann equation",
      "weakly inhomogeneous data",
      "bounded domain",
      "specular reflection boundary value problem",
      "specular reflection boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160405760G"
    }
  }
}