{
  "id": "1706.05996",
  "version": "v1",
  "published": "2017-06-19T14:57:55.000Z",
  "updated": "2017-06-19T14:57:55.000Z",
  "title": "Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction",
  "authors": [
    "Annalisa Iuorio",
    "Stefano Melchionna"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of reaction terms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-19T14:57:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37L30",
      "45K05"
    ],
    "keywords": [
      "nonlocal cahn-hilliard equation",
      "long-time behavior",
      "reaction term",
      "nonlocal cahn-hilliard system",
      "finite fractal dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}