{
  "id": "1609.07013",
  "version": "v1",
  "published": "2016-09-22T15:18:41.000Z",
  "updated": "2016-09-22T15:18:41.000Z",
  "title": "On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations",
  "authors": [
    "Xumin Gu",
    "Yanjin Wang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a free boundary problem for the incompressible ideal magnetohydrodynamic equations that describes the motion of the plasma in vacuum. The magnetic field is tangent and the total pressure vanishes along the plasma-vacuum interface. Under the Taylor sign condition of the total pressure on the free surface, we prove the local well-posedness of the problem in Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-22T15:18:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "35Q35",
      "76B03",
      "76W05"
    ],
    "keywords": [
      "free-surface incompressible ideal magnetohydrodynamic equations",
      "construction",
      "free boundary problem",
      "total pressure vanishes",
      "taylor sign condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}