{
  "id": "1211.1764",
  "version": "v1",
  "published": "2012-11-08T06:24:01.000Z",
  "updated": "2012-11-08T06:24:01.000Z",
  "title": "Approximation of a simple Navier-Stokes model by monotonic rearrangement",
  "authors": [
    "Yann Brenier"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a Navier-Stokes model for compressible fluids in one space dimension. We show that it can be approximated by a time-discrete scheme combining the discretization of a trivial stochastic differential equation and the application of a suitable monotonic rearrangement operator In addition, our result can be easily extended to a related Navier-Stokes-Poisson system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-08T06:24:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple navier-stokes model",
      "approximation",
      "trivial stochastic differential equation",
      "suitable monotonic rearrangement operator",
      "space dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1764B"
    }
  }
}