{
  "id": "1205.5435",
  "version": "v2",
  "published": "2012-05-24T13:32:35.000Z",
  "updated": "2012-10-13T11:09:35.000Z",
  "title": "A global existence result for the semigeostrophic equations in three dimensional convex domains",
  "authors": [
    "Luigi Ambrosio",
    "Maria Colombo",
    "Guido De Philippis",
    "Alessio Figalli"
  ],
  "comment": "17 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "Exploiting recent regularity estimates for the Monge-Amp\\`ere equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domains.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-13T11:09:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global existence result",
      "dimensional convex domains",
      "semigeostrophic equations",
      "eulerian distributional solutions",
      "regularity estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5435A"
    }
  }
}