{
  "id": "cond-mat/0504221",
  "version": "v1",
  "published": "2005-04-09T18:35:15.000Z",
  "updated": "2005-04-09T18:35:15.000Z",
  "title": "Invariance correction to Grad's equations: Where to go beyond approximations?",
  "authors": [
    "A. N. Gorban",
    "I. V. Karlin"
  ],
  "comment": "35 pages, a review paper, Continuum Mechanics and Thermodynamics, in press",
  "journal": "Continuum Mech. Thermodyn. (2005) 17(4): 311--335.",
  "doi": "10.1007/s00161-005-0202-z",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We review some recent developments of Grad's approach to solving the Boltzmann equation and creating reduced description. The method of invariant manifold is put forward as a unified principle to establish corrections to Grad's equations. A consistent derivation of regularized Grad's equations in the framework the method of invariant manifold is given. A new class of kinetic models to lift the finite-moment description to a kinetic theory in the whole space is established. Relations of Grad's approach to modern mesoscopic integrators such as the entropic lattice Boltzmann method are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-09T18:35:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "grads equations",
      "invariance correction",
      "invariant manifold",
      "approximations",
      "entropic lattice boltzmann method"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Continuum Mechanics and Thermodynamics",
      "year": 2005,
      "month": "Dec",
      "volume": 17,
      "number": 4,
      "pages": 311
    },
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005CMT....17..311G"
    }
  }
}