{
  "id": "1407.3662",
  "version": "v1",
  "published": "2014-07-14T14:16:55.000Z",
  "updated": "2014-07-14T14:16:55.000Z",
  "title": "A new model for electrostatic MEMS with two free boundaries",
  "authors": [
    "Martin Kohlmann"
  ],
  "comment": "17 pages",
  "journal": "J. Math. Anal. Appl. 408(2) 513-524 (2013)",
  "doi": "10.1016/j.jmaa.2013.06.012",
  "categories": [
    "math.AP"
  ],
  "abstract": "A moving boundary problem with two free boundaries modeling a two-dimensional idealized MEMS device with pull-in instability is discussed. We use a fixed point argument to show that the model possesses stationary solutions for small source voltages. We also give a rigorous evidence that solutions of the model converge towards solutions of the associated small aspect ratio equation in the vanishing aspect ratio limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-14T14:16:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R35",
      "35J57",
      "35B30",
      "74F15",
      "74M05"
    ],
    "keywords": [
      "free boundaries",
      "electrostatic mems",
      "associated small aspect ratio equation",
      "model possesses stationary solutions",
      "vanishing aspect ratio limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.3662K"
    }
  }
}