{
  "id": "cond-mat/0209560",
  "version": "v2",
  "published": "2002-09-24T15:48:46.000Z",
  "updated": "2012-10-14T08:51:57.000Z",
  "title": "Hydrodynamics from Grad's equations: What can we learn from exact solutions?",
  "authors": [
    "Iliya V. Karlin",
    "Alexander N. Gorban"
  ],
  "comment": "61 pages. Slightly edited and corrected version. It follows mostly Chapter 8 of the book: Gorban, A.N. and Karlin, I.V., Invariant Manifolds for Physical and Chemical Kinetics, Lect. Notes Phys. 660, Springer, Berlin, Heidelberg, 2005",
  "journal": "Ann. Phys. (Leipzig), V. 11 (2002), 10-11, 783-833",
  "doi": "10.1002/1521-3889(200211)11:10/11<783::AID-ANDP783>3.0.CO;2-V",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "physics.flu-dyn"
  ],
  "abstract": "A detailed treatment of the classical Chapman-Enskog derivation of hydrodynamics is given in the framework of Grad's moment equations. Grad's systems are considered as the minimal kinetic models where the Chapman-Enskog method can be studied exactly, thereby providing the basis to compare various approximations in extending the hydrodynamic description beyond the Navier-Stokes approximation. Various techniques, such as the method of partial summation, Pade approximants, and invariance principle are compared both in linear and nonlinear situations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-14T08:51:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solutions",
      "grads equations",
      "grads moment equations",
      "minimal kinetic models",
      "classical chapman-enskog derivation"
    ],
    "tags": [
      "book chapter",
      "journal article"
    ],
    "publication": {
      "journal": "Annalen der Physik",
      "year": 2002,
      "month": "Nov",
      "volume": 514,
      "number": 10,
      "pages": 783
    },
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002AnP...514..783K"
    }
  }
}