{
  "id": "1804.06619",
  "version": "v1",
  "published": "2018-04-18T09:33:29.000Z",
  "updated": "2018-04-18T09:33:29.000Z",
  "title": "A global well-posedness result for the Rosensweig system of ferrofluids",
  "authors": [
    "Francesco De Anna",
    "Stefano Scrobogna"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of solutions \\`a la Leray of this model in the whole bidimensional space. Interesting enough, the well-posedness relies on a variation of the Aubin-Lions lemma for fractional time derivatives. In the second part of this paper we investigate both the long- time behavior of weak solutions and the propagation of Sobolev regularities in dimension two",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-18T09:33:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global well-posedness result",
      "rosensweig system",
      "ferrofluids",
      "fractional time derivatives",
      "sobolev regularities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}