{
  "id": "0812.4979",
  "version": "v1",
  "published": "2008-12-29T21:55:21.000Z",
  "updated": "2008-12-29T21:55:21.000Z",
  "title": "Nonlinear diffusion of dislocation density and self-similar solutions",
  "authors": [
    "Piotr Biler",
    "Grzegorz Karch",
    "Regis Monneau"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a nonlinear pseudodifferential equation describing the dynamics of dislocations. The long time asymptotics of solutions is described by the self-similar profiles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-29T21:55:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Kxx",
      "35Sxx",
      "35B40"
    ],
    "keywords": [
      "self-similar solutions",
      "dislocation density",
      "nonlinear diffusion",
      "long time asymptotics",
      "self-similar profiles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-009-0855-8",
      "journal": "Communications in Mathematical Physics",
      "year": 2010,
      "month": "Feb",
      "volume": 294,
      "pages": 145
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010CMaPh.294..145B"
    }
  }
}