{
  "id": "1901.01221",
  "version": "v1",
  "published": "2019-01-04T17:25:06.000Z",
  "updated": "2019-01-04T17:25:06.000Z",
  "title": "Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity",
  "authors": [
    "Young-Pil Choi",
    "Jinwook Jung"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a hydrodynamic limit of a system of coupled kinetic and fluid equations under a strong local alignment force and a strong Brownian motion. More precisely, we consider the Vlasov-Fokker-Planck type equation and compressible Navier-Stokes equations with a density-dependent viscosity. Based on a relative entropy argument, by assuming the existence of weak solutions to that kinetic-fluid system, we rigorously derive a two-phase fluid model consisting of isothermal Euler equations and compressible Navier-Stokes equations with a density-dependent viscosity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-04T17:25:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "density-dependent viscosity",
      "vlasov-fokker-planck/compressible navier-stokes equations",
      "asymptotic analysis",
      "strong local alignment force",
      "strong brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}