{
  "id": "0906.4345",
  "version": "v1",
  "published": "2009-06-23T20:04:06.000Z",
  "updated": "2009-06-23T20:04:06.000Z",
  "title": "Global Attractor of a coupled Two-Cell Brusselator Model",
  "authors": [
    "Yuncheng You"
  ],
  "comment": "32 pages",
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "In this work the existence of a global attractor for the solution semiflow of the coupled two-cell Brusselator model equations is proved. A grouping estimation method and a new decomposition approach are introduced to deal with the challenge in proving the absorbing property and the asymptotic compactness of this type of four-variable reaction-diffusion systems with cubic autocatalytic nonlinearity and with linear coupling. It is also proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-23T20:04:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L30",
      "35B40",
      "35B41",
      "35K55",
      "35K57",
      "35Q80",
      "80A32",
      "92B05"
    ],
    "keywords": [
      "global attractor",
      "coupled two-cell brusselator model equations",
      "cubic autocatalytic nonlinearity",
      "grouping estimation method",
      "fractal dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4345Y"
    }
  }
}