{
  "id": "0709.1008",
  "version": "v2",
  "published": "2007-09-07T07:23:03.000Z",
  "updated": "2008-01-29T12:51:01.000Z",
  "title": "Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes",
  "authors": [
    "S. Albeverio",
    "Ya. Belopolskaya"
  ],
  "comment": "44 pages",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a solution to a stochastic problem. Namely, we construct diffusion processes which allow us to obtain a probabilistic representation of a weak (in distributional sense) solution to the Cauchy problem for the Navier- Stokes system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-29T12:51:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60J60",
      "35G05",
      "35K45"
    ],
    "keywords": [
      "cauchy problem",
      "navier-stokes system",
      "generalized solutions",
      "construct diffusion processes",
      "weak solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.1008A"
    }
  }
}