{
  "id": "math/0702589",
  "version": "v1",
  "published": "2007-02-20T19:35:30.000Z",
  "updated": "2007-02-20T19:35:30.000Z",
  "title": "Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D",
  "authors": [
    "Peter Constantin",
    "Nader Masmoudi"
  ],
  "doi": "10.1007/s00220-007-0384-2",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in two dimensions. The proof uses a deteriorating regularity estimate and the tensorial structure of the main nonlinear terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-20T19:35:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30"
    ],
    "keywords": [
      "navier-stokes equations",
      "smoluchowski equation",
      "global well-posedness",
      "nonlinear fokker-planck equation",
      "main nonlinear terms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}