{
  "id": "1301.5213",
  "version": "v1",
  "published": "2013-01-22T15:42:51.000Z",
  "updated": "2013-01-22T15:42:51.000Z",
  "title": "Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation",
  "authors": [
    "Robert L. Jerrard",
    "Didier Smets"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schr\\\"odinger dynamics, when the Ginzburg-Landau parameter goes to zero. New ingredients involve across the cores lower bound estimates and approximations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-22T15:42:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional non homogeneous gross-pitaevskii equation",
      "vortex dynamics",
      "cores lower bound estimates",
      "ginzburg-landau vortices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5213J"
    }
  }
}