{
  "id": "1706.07985",
  "version": "v1",
  "published": "2017-06-24T17:44:52.000Z",
  "updated": "2017-06-24T17:44:52.000Z",
  "title": "On the 3D Euler equations with Coriolis force in borderline Besov spaces",
  "authors": [
    "Lucas C. F. Ferreira",
    "Vladimir Angulo-Castillo"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the 3D Euler equations with Coriolis force (EC) in the whole space. We show long-time solvability in Besov spaces for high speed of rotation $\\Omega $ and arbitrary initial data. For that, we obtain $\\Omega$-uniform estimates and a blow-up criterion of BKM type in our framework. Our initial data class is larger than previous ones considered for (EC) and covers borderline cases of the regularity. The uniqueness of solutions is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-24T17:44:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "76U05",
      "76B03",
      "35A07",
      "42B35"
    ],
    "keywords": [
      "3d euler equations",
      "borderline besov spaces",
      "coriolis force",
      "initial data class",
      "arbitrary initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}