{
  "id": "1412.4436",
  "version": "v1",
  "published": "2014-12-15T01:08:19.000Z",
  "updated": "2014-12-15T01:08:19.000Z",
  "title": "Inertial Manifolds for the 3D Cahn-Hilliard Equations with Periodic Boundary Conditions",
  "authors": [
    "Anna Kostianko",
    "Sergey Zelik"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The existence of an inertial manifold for the 3D Cahn-Hilliard equation with periodic boundary conditions is verified using the proper extension of the so-called spatial averaging principle introduced by G. Sell and J. Mallet-Paret. Moreover, the extra regularity of this manifold is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-15T01:08:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic boundary conditions",
      "3d cahn-hilliard equation",
      "inertial manifold",
      "proper extension",
      "spatial averaging principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.4436K"
    }
  }
}