{
  "id": "1010.5296",
  "version": "v1",
  "published": "2010-10-26T01:31:57.000Z",
  "updated": "2010-10-26T01:31:57.000Z",
  "title": "Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions",
  "authors": [
    "Song Jiang",
    "Qiangchang Ju",
    "Fucai Li"
  ],
  "comment": "28 pages",
  "journal": "Communication in Mathematical Physics, 297(2010), no.2, 371-400",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. It is rigorously shown that the weak solutions of the compressible magnetohydrodynamic equations converge to the strong solution of the viscous or inviscid incompressible magnetohydrodynamic equations as long as the latter exists both for the well-prepared initial data and general initial data. Furthermore, the convergence rates are also obtained in the case of the well-prepared initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-26T01:31:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76W05",
      "35B40"
    ],
    "keywords": [
      "periodic boundary conditions",
      "incompressible limit",
      "well-prepared initial data",
      "general initial data",
      "compressible magnetohydrodynamic equations converge"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.5296J"
    }
  }
}