{
  "id": "0906.4233",
  "version": "v1",
  "published": "2009-06-23T11:59:28.000Z",
  "updated": "2009-06-23T11:59:28.000Z",
  "title": "Self-similar blow-up in parabolic equations of Monge--Ampère type",
  "authors": [
    "C. R. Budd",
    "V. A. Galaktionov"
  ],
  "comment": "43 pages, 23 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We propose nonlinear parabolic equations of Monge--Amp\\'ere (M--A) type that admit regional, single poin, and global blow-up of similarity type. A similar model is derived for a fourth-order M--A flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-23T11:59:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K65"
    ],
    "keywords": [
      "monge-ampère type",
      "self-similar blow-up",
      "nonlinear parabolic equations",
      "fourth-order m-a flow",
      "admit regional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4233B"
    }
  }
}