{
  "id": "math/0302160",
  "version": "v1",
  "published": "2003-02-13T15:58:31.000Z",
  "updated": "2003-02-13T15:58:31.000Z",
  "title": "From constant mean curvature hypersurfaces to the gradient theory of phase transitions",
  "authors": [
    "Frank Pacard",
    "Manuel Ritoré"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-13T15:58:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53A07",
      "53A10"
    ],
    "keywords": [
      "constant mean curvature hypersurface",
      "phase transitions",
      "gradient theory",
      "nodal set converges",
      "cahn-hilliard equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2160P"
    }
  }
}