{
  "id": "0803.0817",
  "version": "v1",
  "published": "2008-03-06T12:28:31.000Z",
  "updated": "2008-03-06T12:28:31.000Z",
  "title": "A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation",
  "authors": [
    "Nikos I. Karachalios"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using the improved lower bound on the sum of the eigenvalues of the Dirichlet Laplacian proved by A. D. Melas (Proc. Amer. Math. Soc. \\textbf{131} (2003) 631-636), we report a new and sharp estimate for the dimension of the global attractor associated to the complex Ginzburg-Landau equation supplemented with Dirichlet boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-06T12:28:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35B40",
      "35B41",
      "37L30",
      "05.45.-a",
      "02.10.Ud"
    ],
    "keywords": [
      "sharp estimate",
      "dirichlet problem",
      "dirichlet boundary conditions",
      "lower bound",
      "dirichlet laplacian"
    ],
    "publication": {
      "doi": "10.1063/1.3187781",
      "journal": "Journal of Mathematical Physics",
      "year": 2009,
      "month": "Aug",
      "volume": 50,
      "number": 8,
      "pages": 2701
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JMP....50h2701K"
    }
  }
}