{
  "id": "1003.4121",
  "version": "v1",
  "published": "2010-03-22T10:46:31.000Z",
  "updated": "2010-03-22T10:46:31.000Z",
  "title": "Asymptotic behaviour for a diffusion equation governed by nonlocal interactions.",
  "authors": [
    "Armel Andami Ovono"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the asymptotic behaviour of a nonlocal nonlinear parabolic equation governed by a parameter. After giving the existence of unique branch of solutions composed by stable solutions in stationary case, we gives for the parabolic problem $L^\\infty $ estimates of solution based on using the Moser iterations and existence of global attractor. We finish our study by the issue of asymptotic behaviour in some cases when $t\\to \\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-22T10:46:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic behaviour",
      "diffusion equation",
      "nonlocal interactions",
      "nonlocal nonlinear parabolic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.4121A"
    }
  }
}