{
  "id": "1803.07914",
  "version": "v1",
  "published": "2018-03-21T13:40:44.000Z",
  "updated": "2018-03-21T13:40:44.000Z",
  "title": "Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks",
  "authors": [
    "Kaïs Ammari",
    "Emmanuelle Crépeau"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the frequency domain method, we get the asymptotic stabilization result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-21T13:40:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35M10"
    ],
    "keywords": [
      "benjamin-bona-mahony equation",
      "well-posedness",
      "frequency domain method",
      "asymptotic stabilization result",
      "first time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}