{
  "id": "math/0612094",
  "version": "v3",
  "published": "2006-12-04T15:11:11.000Z",
  "updated": "2011-09-02T17:59:33.000Z",
  "title": "Hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries",
  "authors": [
    "Christophe Bahadoran"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We consider attractive particle systems in $\\Z^d$ with product invariant measures. We prove that when particles are restricted to a subset of $\\Z^d$, with birth and death dynamics at the boundaries, the hydrodynamic limit is given by the unique entropy solution of a conservation law, with boundary conditions in the sense of Bardos, Leroux and N\\'ed\\'elec. For the hydrostatic limit between parallel hyperplanes, we prove a multidimensional version of the phase diagram conjectured in \\cite{ps}, and show that it is robust with respect to perturbations of the boundaries.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-02T17:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22",
      "82C26",
      "35L65",
      "35L67",
      "35L50"
    ],
    "keywords": [
      "asymmetric particle systems",
      "open boundaries",
      "hydrodynamic",
      "unique entropy solution",
      "product invariant measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12094B"
    }
  }
}