{
  "id": "1712.09546",
  "version": "v1",
  "published": "2017-12-27T11:10:09.000Z",
  "updated": "2017-12-27T11:10:09.000Z",
  "title": "Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces",
  "authors": [
    "Pingzhou Hong",
    "Jinlu Li",
    "Weipeng Zhu"
  ],
  "comment": "9",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove that the 2D viscous shallow water equations is ill-posed in the critical Besov spaces $\\B^{\\frac2p-1}_{p,1}(\\R^2)$ with $p>4$. Our proof mainly depends on the method introduced by the paper \\cite{C-M-Z4}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-27T11:10:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35B30"
    ],
    "keywords": [
      "2d viscous shallow water equations",
      "critical besov spaces",
      "ill-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}