{
  "id": "1505.01254",
  "version": "v1",
  "published": "2015-05-06T05:24:06.000Z",
  "updated": "2015-05-06T05:24:06.000Z",
  "title": "On partial regularity for the steady Hall magnetohydrodynamics system",
  "authors": [
    "Dongho Chae",
    "Joerg Wolf"
  ],
  "comment": "23 pages(to appear in Communications in Mathematical Physics)",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study partial regularity of suitable weak solutions of the steady Hall magnetohydrodynamics equations in a domain $\\Omega \\subset \\Bbb R^3$. In particular we prove that the set of possible singularities of the suitable weak solution has Hausdorff dimension at most one. Moreover, in the case $\\Omega=\\Bbb R^3$, we show that the set of possible singularities is compact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-06T05:24:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q85",
      "76W05"
    ],
    "keywords": [
      "steady hall magnetohydrodynamics system",
      "suitable weak solution",
      "steady hall magnetohydrodynamics equations",
      "study partial regularity",
      "singularities"
    ],
    "publication": {
      "doi": "10.1007/s00220-015-2429-2",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Nov",
      "volume": 339,
      "number": 3,
      "pages": 1147
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.339.1147C"
    }
  }
}