{
  "id": "2102.03244",
  "version": "v1",
  "published": "2021-02-05T15:44:15.000Z",
  "updated": "2021-02-05T15:44:15.000Z",
  "title": "Typicality results for weak solutions of the incompressible Navier--Stokes equations",
  "authors": [
    "Maria Colombo",
    "Luigi De Rosa",
    "Massimo Sorella"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we show that, in the class of $L^\\infty((0,T);L^2(\\mathbb{T}^3))$ distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in some open interval of times are meagre in the sense of Baire category, and the Leray ones are a nowhere dense set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-05T15:44:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incompressible navier-stokes equations",
      "weak solutions",
      "typicality results",
      "dense set",
      "baire category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}