{
  "id": "2210.10902",
  "version": "v1",
  "published": "2022-10-19T21:46:35.000Z",
  "updated": "2022-10-19T21:46:35.000Z",
  "title": "Review on long time asymptotics of large data in some nonintegrable dispersive models",
  "authors": [
    "Claudio Muñoz"
  ],
  "comment": "Review of a talk given at TYAN Virtual Thematic Workshop in Mathematics, in September 2021. To appear in Matem\\'atica Contempor\\^anea",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this short note, we review recent results concerning the long time dynamics of large data solutions to several dispersive models. Starting with the KdV case and ending with the KP models, we review the literature and present new results where virial estimates allow one to prove local energy decay in different regions of space where solitons, lumps or solitary waves are not present.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-19T21:46:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long time asymptotics",
      "nonintegrable dispersive models",
      "long time dynamics",
      "local energy decay",
      "large data solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}