{
  "id": "math/0607708",
  "version": "v1",
  "published": "2006-07-27T12:53:14.000Z",
  "updated": "2006-07-27T12:53:14.000Z",
  "title": "Long-Time Asymptotic Behavior of Dissipative Boussinesq System",
  "authors": [
    "Min Chen",
    "Olivier Goubet"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show that the decay rate for the damped one-directional model equations, such as the KdV and BBM equations, holds for some of the damped Boussinesq systems which model two-directional waves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-27T12:53:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q53",
      "76B15"
    ],
    "keywords": [
      "long-time asymptotic behavior",
      "dissipative boussinesq system",
      "long wavelength water waves",
      "small amplitude long wavelength water",
      "two-dimensional small amplitude long wavelength"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7708C"
    }
  }
}