{
  "id": "1507.05885",
  "version": "v1",
  "published": "2015-07-21T15:59:59.000Z",
  "updated": "2015-07-21T15:59:59.000Z",
  "title": "Regularity criterion for the 3D Hall-magneto-hydrodynamics",
  "authors": [
    "Mimi Dai"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper studies the regularity problem of the 3D incompressible resistive viscous Hall-magneto-hydrodynamic (Hall-MHD) system. We apply an approach of splitting the dissipation wavenumber combined with an estimate of the energy flux to obtain a new regularity criterion. The regularity condition presented here is weaker than conditions in the existing criteria (Prodi-Serrin type criteria) for the 3D Hall-MHD system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-21T15:59:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "35Q35"
    ],
    "keywords": [
      "regularity criterion",
      "3d hall-magneto-hydrodynamics",
      "3d hall-mhd system",
      "prodi-serrin type criteria",
      "paper studies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}