{
  "id": "0804.2795",
  "version": "v2",
  "published": "2008-04-17T13:19:16.000Z",
  "updated": "2008-05-08T13:21:54.000Z",
  "title": "Existence and behavior of asymmetric traveling wave solutions to thin film equation",
  "authors": [
    "Roman M. Taranets"
  ],
  "comment": "14 pages, 2 figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "We proved the existence and uniqueness of a traveling wave solution to the thin film equation with a Navier slip condition at the liquid-solid interface. We obtain explicit lower and upper bounds for the solution and an absolute error estimate of approximation of a solution to the thin films equation by the traveling-wave solution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-08T13:21:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76A20",
      "76D08",
      "35K55",
      "35K65",
      "35Q35"
    ],
    "keywords": [
      "thin film equation",
      "asymmetric traveling wave solutions",
      "thin films equation",
      "navier slip condition",
      "absolute error estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.2795T"
    }
  }
}