{
  "id": "1502.03474",
  "version": "v1",
  "published": "2015-02-11T22:34:33.000Z",
  "updated": "2015-02-11T22:34:33.000Z",
  "title": "On partial regularity for the $3D$ non-stationary Hall magnetohydrodynamics equations on the plane",
  "authors": [
    "Dongho Chae",
    "Joerg Wolf"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study partial regularity of weak solutions of the 3D valued non-stationary Hall magnetohydrodynamics equations on $ \\Bbb R^2$. In particular we prove the existence of a weak solution whose set of possible singularities has the space-time Hausdorff dimension at most two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-11T22:34:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q85",
      "76W05"
    ],
    "keywords": [
      "weak solution",
      "valued non-stationary hall magnetohydrodynamics equations",
      "3d valued non-stationary hall magnetohydrodynamics",
      "study partial regularity",
      "space-time hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}