{
  "id": "1303.6548",
  "version": "v1",
  "published": "2013-03-26T16:33:03.000Z",
  "updated": "2013-03-26T16:33:03.000Z",
  "title": "Long-time existence of classical solutions to a 1-D swelling gel",
  "authors": [
    "M. Carme Calderer",
    "Robin Ming Chen"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we derived a model which describes the swelling dynamics of a gel and study the system in one-dimensional geometry with a free boundary. The governing equations are hyperbolic with a weakly dissipative source. Using a mass-Lagrangian formulation, the free-boundary is transformed into a fixed-boundary. We prove the existence of long time, continuously differentiable solutions to the transformed fixed boundary problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-26T16:33:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L50",
      "35R35"
    ],
    "keywords": [
      "long-time existence",
      "classical solutions",
      "swelling gel",
      "free boundary",
      "mass-lagrangian formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6548C"
    }
  }
}