{
  "id": "1604.00705",
  "version": "v1",
  "published": "2016-04-04T00:04:53.000Z",
  "updated": "2016-04-04T00:04:53.000Z",
  "title": "Asymptotic Analysis of Transport Equation in Annulus",
  "authors": [
    "Lei Wu",
    "Xiongfeng Yang",
    "Yan Guo"
  ],
  "comment": "47 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1404.2583, arXiv:1509.07699",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the diffusive limit of a steady neutron transport equation with one-speed velocity in a two-dimensional annulus. A classical theorem states that the solution can be approximated in $L^{\\infty}$ by the leading order interior solution plus the corresponding Knudsen layers in the diffusive limit. In this paper, we construct a counterexample of this result via a different boundary layer expansion with geometric correction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-04T00:04:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic analysis",
      "steady neutron transport equation",
      "leading order interior solution plus",
      "boundary layer expansion",
      "diffusive limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}