{
  "id": "1407.3637",
  "version": "v1",
  "published": "2014-07-10T13:58:11.000Z",
  "updated": "2014-07-10T13:58:11.000Z",
  "title": "Local well-posedness of Prandtl equations for compressible flow in two space variables",
  "authors": [
    "Ya-Guang Wang",
    "Feng Xie",
    "Tong Yang"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of boundary layer in the small viscosity limit of the compressible isentropic Navier-Stokes equations with non-slip boundary condition. Under the strictly monotonic assumption on the tangential velocity in the normal variable, we apply the Nash-Moser-H\\\"{o}rmander iteration scheme and further develop the energy method introduced in [1] to obtain the well-posedness of the equations locally in time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-10T13:58:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local well-posedness",
      "prandtl equations",
      "space variables",
      "compressible flow",
      "prandtl boundary layer equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.3637W"
    }
  }
}