{
  "id": "2010.05849",
  "version": "v1",
  "published": "2020-10-12T16:53:38.000Z",
  "updated": "2020-10-12T16:53:38.000Z",
  "title": "Anisotropic Surface Tensions for Phase Transitions in Periodic Media",
  "authors": [
    "Rustum Choksi",
    "Irene Fonseca",
    "Jessica Lin",
    "Raghavendra Venkatraman"
  ],
  "comment": "33 pages, comments welcome!",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MG",
    "math.MP"
  ],
  "abstract": "A novel ``geodesic'' representation formula for an anisotropic surface tension arising from the periodic homogenization of a bistable Ginzburg-Landau energy is provided. Using this formula, we prove the regularity and ellipticity of the anisotropic surface tension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-12T16:53:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transitions",
      "periodic media",
      "representation formula",
      "anisotropic surface tension arising",
      "periodic homogenization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}