{
  "id": "1906.10371",
  "version": "v1",
  "published": "2019-06-25T08:14:15.000Z",
  "updated": "2019-06-25T08:14:15.000Z",
  "title": "Energy conservation for the weak solutions to the equations of compressible magnetohydrodynamic flows in three dimensions",
  "authors": [
    "Tingsheng Wang",
    "Xinhua Zhao",
    "Yingshan Chen",
    "Mei Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the energy conservation for the weak solutions to the three-dimensional equations of compressible magnetohydrodynamic flows (MHD) under certain conditions only about density and velocity. This work is inspired by the seminal work by Yu [27] on the energy conservation of compressible Navier-Stokes equations. Our result indicates that even the magnetic field is taken into account, we only need some regularity conditions of the density and velocity as in [27] to ensure the energy conservation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-25T08:14:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy conservation",
      "compressible magnetohydrodynamic flows",
      "weak solutions",
      "dimensions",
      "regularity conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}