{
  "id": "2004.09616",
  "version": "v1",
  "published": "2020-04-20T20:29:00.000Z",
  "updated": "2020-04-20T20:29:00.000Z",
  "title": "Global existence of weak solutions to a diffuse interface model for magnetic fluids",
  "authors": [
    "Martin Kalousek",
    "Sourav Mitra",
    "Anja Schlömerkemper"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article is devoted to the derivation and analysis of a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic fluids. The system consists of the incompressible Navier-Stokes equations coupled with an evolutionary equation for the magnetization vector and the Cahn-Hilliard equations. We show global in time existence of weak solutions to the system using the time discretization method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-20T20:29:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffuse interface model",
      "weak solutions",
      "global existence",
      "diffuse interface flow",
      "time discretization method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}