{
  "id": "1802.06606",
  "version": "v1",
  "published": "2018-02-19T12:20:35.000Z",
  "updated": "2018-02-19T12:20:35.000Z",
  "title": "A variational approach to Navier-Stokes",
  "authors": [
    "Michael Ortiz",
    "Bernd Schmidt",
    "Ulisse Stefanelli"
  ],
  "categories": [
    "math.AP",
    "cond-mat.other"
  ],
  "abstract": "We present a variational resolution of the incompressible Navier-Stokes system by means of stabilized Weighted-Inertia-Dissipation-Energy (WIDE) functionals. The minimization of these parameter-dependent functionals corresponds to an elliptic-in-time regularization of the system. By passing to the limit in the regularization parameter along subsequences of WIDE minimizers one recovers a classical Leray-Hopf weak solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-19T12:20:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "variational approach",
      "classical leray-hopf weak solution",
      "parameter-dependent functionals corresponds",
      "incompressible navier-stokes system",
      "variational resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}