{
  "id": "math/0502059",
  "version": "v1",
  "published": "2005-02-02T21:16:32.000Z",
  "updated": "2005-02-02T21:16:32.000Z",
  "title": "Global solutions of the Hunter-Saxton equation",
  "authors": [
    "Alberto Bressan",
    "Adrian Constantin"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-02T21:16:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global solutions",
      "hunter-saxton equation",
      "partial differential equations modeling",
      "differential equations modeling nematic liquid",
      "nonlinear partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2059B"
    }
  }
}