{
  "id": "math/0609807",
  "version": "v3",
  "published": "2006-09-28T14:44:49.000Z",
  "updated": "2006-12-19T10:39:08.000Z",
  "title": "Geometric and projective instability for the Gross-Pitaevski equation",
  "authors": [
    "Laurent Thomann"
  ],
  "comment": "15 pages, 0 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in $\\R^3$. These solutions will help to show that the $L^2$ flow is unstable for the usual topology and for the projective distance.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-12-19T10:39:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35B35",
      "81Q05"
    ],
    "keywords": [
      "gross-pitaevski equation",
      "projective instability",
      "construct approximate solutions",
      "variational methods",
      "usual topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9807T"
    }
  }
}