{
  "id": "1509.07660",
  "version": "v1",
  "published": "2015-09-25T10:05:27.000Z",
  "updated": "2015-09-25T10:05:27.000Z",
  "title": "Global well-posedness to the 3D incompressible MHD equations with a new class of large initial data",
  "authors": [
    "Renhui Wan"
  ],
  "comment": "Submitted,15 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We obtain the global well-posedness to the 3D incompressible magnetohydrodynamics (MHD) equations in Besov space with negative index of regularity. Particularly, we can get the global solutions for a new class of large initial data. As a byproduct, this result improves the corresponding result in \\cite{HHW}. In addition, we also get the global result for this system in $\\mathcal{\\chi}^{-1}(\\R^3)$ originally developed in \\cite{LL}. More precisely, we only assume that the norm of initial data is exactly smaller than the sum of viscosity and diffusivity parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-25T10:05:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76W05",
      "76N10"
    ],
    "keywords": [
      "3d incompressible mhd equations",
      "large initial data",
      "global well-posedness",
      "3d incompressible magnetohydrodynamics",
      "besov space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907660W"
    }
  }
}