{
  "id": "1511.00533",
  "version": "v1",
  "published": "2015-11-02T14:56:07.000Z",
  "updated": "2015-11-02T14:56:07.000Z",
  "title": "New results on the constants in some inequalities for the Navier-Stokes quadratic nonlinearity",
  "authors": [
    "Carlo Morosi",
    "Mario Pernici",
    "Livio Pizzocchero"
  ],
  "comment": "Author's note. Some overlaps with our previous works arXiv:1405.3421, arXiv:1402.0487, arXiv:1310.5642, arXiv:1304.2972, arXiv:1203.6865, arXiv:1104.3832, arXiv:1009.2051, arXiv:1007.4412, arXiv:0909.3707, arXiv:0709.1670. These overlaps aim to make the paper self-contained and do not involve the main results",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give fully explicit upper and lower bounds for the constants in two known inequalities related to the quadratic nonlinearity of the incompressible (Euler or) Navier-Stokes equations on the torus T^d. These inequalities are \"tame\" generalizations (in the sense of Nash-Moser) of the ones analyzed in the previous works [Morosi and Pizzocchero: CPAA 2012, Appl.Math.Lett. 2013].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-02T14:56:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D05",
      "26D10",
      "46E35"
    ],
    "keywords": [
      "navier-stokes quadratic nonlinearity",
      "inequalities",
      "lower bounds",
      "fully explicit upper",
      "navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151100533M"
    }
  }
}