{
  "id": "1511.08890",
  "version": "v1",
  "published": "2015-11-28T11:03:51.000Z",
  "updated": "2015-11-28T11:03:51.000Z",
  "title": "Stability properties of the regular set for the Navier--Stokes equation",
  "authors": [
    "Renato Lucà",
    "Piero D'Ancona"
  ],
  "comment": "41 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the size of the regular set for small perturbations of some classes of strong large solutions to the Navier--Stokes equation. We consider perturbations of the data which are small in suitable weighted $L^{2}$ spaces but can be arbitrarily large in any translation invariant critical Banach space. We give similar results in the small data setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-28T11:03:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35K55"
    ],
    "keywords": [
      "navier-stokes equation",
      "regular set",
      "stability properties",
      "translation invariant critical banach space",
      "strong large solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151108890L"
    }
  }
}