{
  "id": "math-ph/0207016",
  "version": "v2",
  "published": "2002-07-11T17:09:03.000Z",
  "updated": "2002-07-16T09:42:07.000Z",
  "title": "Symmetry reduction and exact solutions of the Navier-Stokes equations",
  "authors": [
    "Wilhelm I. Fushchych",
    "Roman O. Popovych"
  ],
  "comment": "LaTex2e, 62 pages",
  "journal": "J. Nonlinear Math. Phys. 1 (1994), 75-113, 158-188",
  "doi": "10.2991/jnmp.1994.1.1.6 10.2991/jnmp.1994.1.2.3",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI",
    "physics.flu-dyn"
  ],
  "abstract": "Ansatzes for the Navier-Stokes field are described. These ansatzes reduce the Navier-Stokes equations to system of differential equations in three, two, and one independent variables. The large sets of exact solutions of the Navier-Stokes equations are constructed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-07-16T09:42:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35A30",
      "35C05",
      "76D05"
    ],
    "keywords": [
      "navier-stokes equations",
      "exact solutions",
      "symmetry reduction",
      "navier-stokes field",
      "ansatzes reduce"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 62,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}