{
  "id": "1901.01384",
  "version": "v1",
  "published": "2019-01-05T08:34:11.000Z",
  "updated": "2019-01-05T08:34:11.000Z",
  "title": "Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation",
  "authors": [
    "Zhouyu Li",
    "Pan Liu",
    "Pengcheng Niu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with the Cauchy problem of the two-dimensional MHD system with magnetic diffusion. It was proved that the MHD equations have a unique global strong solution around the equilibrium state $(0, e_1)$. Furthermore, the $L^2$ decay rate of the velocity and magnetic field is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-05T08:34:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large time asymptotic behavior",
      "cauchy problem",
      "mhd equation",
      "global well-posedness",
      "unique global strong solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}