{
  "id": "1306.2190",
  "version": "v1",
  "published": "2013-06-10T13:08:19.000Z",
  "updated": "2013-06-10T13:08:19.000Z",
  "title": "Remarks on global regularity of 2D generalized MHD equations",
  "authors": [
    "Baoquan Yuan",
    "Linna Bai"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we investigate the global regularity of 2D generalized MHD equations, in which the dissipation term and magnetic diffusion term are $\\nu(-\\Delta)^\\alpha u$ and $\\eta (-\\Delta)^\\beta b$ respectively. Let $(u_{0}, b_{0})\\in H^{s}$ with $s\\geq2$, it is showed that the smooth solution $(u(x,t),b(x,t))$ is globally regular for the case $ 0\\leq\\alpha\\leq\\{1}{2}, \\alpha+\\beta > \\{3}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-10T13:08:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d generalized mhd equations",
      "global regularity",
      "magnetic diffusion term",
      "dissipation term",
      "smooth solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.2190Y"
    }
  }
}