{
  "id": "2006.13000",
  "version": "v1",
  "published": "2020-06-05T16:52:27.000Z",
  "updated": "2020-06-05T16:52:27.000Z",
  "title": "Rarefied gas dynamics with external fields under specular reflection boundary condition",
  "authors": [
    "Yunbai Cao"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1212.1694 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical $C^1$ solutions away from the grazing set under the assumption that the external field is $C^2$ and the normal derivative of the field is positive and bounded away from $0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-05T16:52:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "specular reflection boundary condition",
      "external field",
      "rarefied gas dynamics",
      "boltzmann equation",
      "strictly convex domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}