{
  "id": "1108.1949",
  "version": "v1",
  "published": "2011-08-09T15:06:03.000Z",
  "updated": "2011-08-09T15:06:03.000Z",
  "title": "Instability of Ginzburg-Landau Vortices on Manifolds",
  "authors": [
    "Ko-Shin Chen"
  ],
  "doi": "10.1017/S0308210511000795",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate two settings of Ginzburg-Landau posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg-Landau energy posed on a simply connected, compact, closed 2-manifold. The second is a vortex annihilation result for the Ginzburg-Landau heat flow posed on certain surfaces of revolution with boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-09T15:06:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ginzburg-landau vortices",
      "vortex annihilation result",
      "instability result",
      "ginzburg-landau heat flow",
      "critical points"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.1949C"
    }
  }
}