{
  "id": "1903.09437",
  "version": "v1",
  "published": "2019-03-22T10:37:41.000Z",
  "updated": "2019-03-22T10:37:41.000Z",
  "title": "Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces",
  "authors": [
    "Zihua Guo",
    "Kuijie Li"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel-Lizorkin spaces, which was not shown in the previous works(\\cite{Ch02, Ch03, ChMiZh10}). The proof relies on the classical Bona-Smith method as \\cite{GuLiYi18}, where similar result was obtained in critical Besov spaces $B^1_{\\infty,1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-22T10:37:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "76B03"
    ],
    "keywords": [
      "euler equations",
      "triebel-lizorkin spaces",
      "well-posedness",
      "critical besov spaces",
      "similar result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}