{
  "id": "1712.08452",
  "version": "v1",
  "published": "2017-12-22T14:05:57.000Z",
  "updated": "2017-12-22T14:05:57.000Z",
  "title": "Large time behavior for higher order Boussinesq system",
  "authors": [
    "R. A. Capistrano-Filho",
    "F. A. Gallego",
    "A. F. Pazoto"
  ],
  "comment": "13 pg",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "A family of Boussinesq systems has been proposed in P. J. Olver, Hamiltonian and non-Hamiltonian models for water waves. Lecture Notes in Physics, vol.195, Springer Verlag, (1984), 273-296, to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investigate the boundary stabilization of the generalized higher order Boussinesq systems of KdV--type posed on a interval. We design a two-parameter family of feedback laws for which the solutions are globally defined in time and exponentially decreasing in the energy space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-22T14:05:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93D15",
      "35Q53",
      "93B05"
    ],
    "keywords": [
      "large time behavior",
      "generalized higher order boussinesq systems",
      "small amplitude long waves",
      "water waves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}