{
  "id": "2209.06189",
  "version": "v1",
  "published": "2022-09-13T17:38:47.000Z",
  "updated": "2022-09-13T17:38:47.000Z",
  "title": "Weak solutions to the Navier-Stokes equations",
  "authors": [
    "Ira Herbst"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the equivalence of being a Leray-Hopf weak solution to the Navier-Stokes equations in $\\mathbb{R}^m, m \\ge 3$, to satisfying a well known integral equation. We use this equation to derive some properties of these weak solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-13T17:38:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35D30"
    ],
    "keywords": [
      "navier-stokes equations",
      "leray-hopf weak solution",
      "integral equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}