{
  "id": "1312.4913",
  "version": "v1",
  "published": "2013-12-17T19:49:29.000Z",
  "updated": "2013-12-17T19:49:29.000Z",
  "title": "Finite time blow up for a 1D model of 2D Boussinesq system",
  "authors": [
    "Kyudong Choi",
    "Alexander Kiselev",
    "Yao Yao"
  ],
  "comment": "13 pages, 2 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "The 2D conservative Boussinesq system describes inviscid, incompressible, buoyant fluid flow in gravity field. The possibility of finite time blow up for solutions of this system is a classical problem of mathematical hydrodynamics. We consider a 1D model of 2D Boussinesq system motivated by a particular finite time blow up scenario. We prove that finite time blow up is possible for the solutions to the model system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-17T19:49:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite time blow",
      "1d model",
      "2d conservative boussinesq system",
      "buoyant fluid flow",
      "2d boussinesq system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2146-2",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Mar",
      "volume": 334,
      "number": 3,
      "pages": 1667
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.334.1667C"
    }
  }
}