{
  "id": "1708.02115",
  "version": "v1",
  "published": "2017-08-07T13:41:59.000Z",
  "updated": "2017-08-07T13:41:59.000Z",
  "title": "Small data global solutions for the Camassa-Choi equations",
  "authors": [
    "Benjamin Harrop-Griffiths",
    "Jeremy L. Marzuola"
  ],
  "comment": "35 pages, 4 figures, comments welcome!",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider solutions to the Cauchy problem for an internal-wave model derived by Camassa-Choi in a paper in Journal of Fluid Mechanics (1996). This model is a natural generalization of the Benjamin-Ono and Intermediate Long Wave equations in the case of weak transverse effects. We prove the existence and long-time dynamics of global solutions from small, smooth, spatially localized initial data on $\\mathbb{R}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-07T13:41:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76B55"
    ],
    "keywords": [
      "small data global solutions",
      "camassa-choi equations",
      "intermediate long wave equations",
      "weak transverse effects",
      "internal-wave model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}