{
  "id": "1007.2012",
  "version": "v1",
  "published": "2010-07-13T00:16:33.000Z",
  "updated": "2010-07-13T00:16:33.000Z",
  "title": "On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations",
  "authors": [
    "Igor Kukavica",
    "Vlad Vicol"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey-class regularity radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-13T00:16:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gevrey class regularity",
      "euler equations",
      "analyticity",
      "three-dimensional gevrey-class bounded domain",
      "gevrey-class regularity radius"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/24/3/004",
      "journal": "Nonlinearity",
      "year": 2011,
      "month": "Mar",
      "volume": 24,
      "number": 3,
      "pages": 765
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011Nonli..24..765K"
    }
  }
}