{
  "id": "1101.5177",
  "version": "v3",
  "published": "2011-01-26T22:09:08.000Z",
  "updated": "2012-04-01T23:28:22.000Z",
  "title": "Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension",
  "authors": [
    "Mahir Hadzic"
  ],
  "comment": "25 pages, important references added, two remarks added, typos corrected",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-04-01T23:28:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q99",
      "35Q80"
    ],
    "keywords": [
      "surface tension",
      "nonlinear asymptotic stability",
      "high-order energy method",
      "appropriate orthogonality conditions",
      "two-phase stefan problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-011-0463-6",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2012,
      "month": "Mar",
      "volume": 203,
      "number": 3,
      "pages": 719
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012ArRMA.203..719H"
    }
  }
}