{
  "id": "1509.07964",
  "version": "v1",
  "published": "2015-09-26T11:39:58.000Z",
  "updated": "2015-09-26T11:39:58.000Z",
  "title": "Lower bound on the blow-up rate of the 3D Navier-Stokes equations in H^{5/2}",
  "authors": [
    "Abdelhafid Younsi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a lower bound for the blow-up rate of smooth solution of the 3D Navier-Stokes equations in the H^{5/2}-norm, both on the whole space and in the periodic case. This result gives a positive answer to a question left open by James et al (2012, J. Math. Phys.).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-26T11:39:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35B44"
    ],
    "keywords": [
      "3d navier-stokes equations",
      "blow-up rate",
      "lower bound",
      "question left open",
      "smooth solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907964Y"
    }
  }
}