{
  "id": "1705.01622",
  "version": "v1",
  "published": "2017-05-03T21:02:40.000Z",
  "updated": "2017-05-03T21:02:40.000Z",
  "title": "Stabilization of the wave equation with moving boundary",
  "authors": [
    "Kaïs Ammari",
    "Ahmed Bchatnia",
    "Karim El Mufti"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We deal with the wave equation with assigned moving boundary ($0<x<a(t)$) upon which Dirichlet-Neuman boundary conditions are satisfied, here $a(t)$ is assumed to move slower than the light and periodically. We give a feedback which guarantees the exponential decay of the energy. The proof relies on a reduction theorem of Yoccoz. At the end we give a remark on the moving-pointwise stabilization problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-03T21:02:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "34K35",
      "93B07",
      "95B05"
    ],
    "keywords": [
      "wave equation",
      "moving boundary",
      "dirichlet-neuman boundary conditions",
      "move slower",
      "exponential decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}