{
  "id": "1111.2926",
  "version": "v1",
  "published": "2011-11-12T13:45:42.000Z",
  "updated": "2011-11-12T13:45:42.000Z",
  "title": "Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity",
  "authors": [
    "Song Jiang",
    "Qiangchang Ju",
    "Fucai Li"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space $\\mathbb{R}^d$ $(d=2,3)$. We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-12T13:45:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76W05",
      "35B40"
    ],
    "keywords": [
      "compressible non-isentropic magnetohydrodynamic equations",
      "zero magnetic diffusivity",
      "incompressible limit",
      "general initial data",
      "time interval independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2926J"
    }
  }
}