{
  "id": "2007.01461",
  "version": "v1",
  "published": "2020-07-03T02:24:02.000Z",
  "updated": "2020-07-03T02:24:02.000Z",
  "title": "Diffusion Limit of the Vlasov-Poisson-Boltzmann System",
  "authors": [
    "Hai-Liang Li",
    "Tong Yang",
    "Mingying Zhong"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-03T02:24:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusion limit",
      "vlasov-poisson-boltzmann system",
      "global strong solution",
      "unipolar vpb system",
      "convergence rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}