{
  "id": "2208.03746",
  "version": "v1",
  "published": "2022-08-07T14:56:43.000Z",
  "updated": "2022-08-07T14:56:43.000Z",
  "title": "Diffusion Limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system",
  "authors": [
    "Mingying Zhong"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the present paper, we study the diffusion limit of the classical solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system with initial data near a global Maxwellian. We prove the convergence and establish the optimal convergence rate of the global strong solution to the VPFP system towards the solution to the drift-diffusion-Poisson system based on the spectral analysis with precise estimation on the initial layer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-07T14:56:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76P05",
      "82C40",
      "82D05"
    ],
    "keywords": [
      "optimal convergence rate",
      "diffusion limit",
      "vlasov-poisson-fokker-planck system",
      "global strong solution",
      "initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}