{
  "id": "1212.4207",
  "version": "v1",
  "published": "2012-12-18T01:14:16.000Z",
  "updated": "2012-12-18T01:14:16.000Z",
  "title": "Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces",
  "authors": [
    "Alexey Cheskidov",
    "Roman Shvydkoy"
  ],
  "journal": "J. Math. Phys. 53, 115620 (2012)",
  "doi": "10.1063/1.4765332",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arbitrarily small initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-18T01:14:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "35Q30",
      "47.10.ad"
    ],
    "keywords": [
      "largest critical space",
      "subcritical hyperdissipative navier-stokes equations",
      "ill-posedness",
      "arbitrarily small initial data",
      "fractional laplacian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Nov",
      "volume": 53,
      "number": 11,
      "pages": 5620
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JMP....53k5620C"
    }
  }
}