{
  "id": "2102.07341",
  "version": "v1",
  "published": "2021-02-15T04:49:57.000Z",
  "updated": "2021-02-15T04:49:57.000Z",
  "title": "Global Strong Solutions to the Compressible Magnetohydrodynamic Equations with Slip Boundary Conditions in 3D Bounded Domains",
  "authors": [
    "Yazhou Chen",
    "Bin Huang",
    "Xiaoding Shi"
  ],
  "comment": "42 pages. arXiv admin note: text overlap with arXiv:2102.06348",
  "categories": [
    "math.AP"
  ],
  "abstract": "We deal with the barotropic compressible magnetohydrodynamic equations in three-dimensional (3D) bounded domain with slip boundary condition and vacuum. By a series of a priori estimates, especially the boundary estimates, we prove the global well-posedness of classical solution and the exponential decay rate to the initial-boundary-value problem of this system for the regular initial data with small energy but possibly large oscillations. The initial density of such a classical solution is allowed to contain vacuum states. Moreover, it is also shown that the oscillation of the density will grow unboundedly with an exponential rate when the initial state contains vacuum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-15T04:49:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "slip boundary condition",
      "compressible magnetohydrodynamic equations",
      "global strong solutions",
      "3d bounded domains",
      "initial state contains vacuum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}