{
  "id": "2110.15006",
  "version": "v2",
  "published": "2021-10-28T10:30:57.000Z",
  "updated": "2021-10-29T03:55:48.000Z",
  "title": "Low Regularity Solutions for the Vlasov-Poisson-Landau/Boltzmann System",
  "authors": [
    "Dingqun Deng",
    "Renjun Duan"
  ],
  "doi": "10.1088/1361-6544/acc3f0",
  "categories": [
    "math.AP"
  ],
  "abstract": "In the paper, we are concerned with the nonlinear Cauchy problem on the Vlasov-Poisson-Landau/Boltzmann system around global Maxwellians in torus or finite channel. The main goal is to establish the global existence and large time behavior of small amplitude solutions for a class of low regularity initial data. The molecular interaction type is restricted to the case of hard potentials for two classical collision operators because of the effect of the self-consistent forces. The result extends the one by Duan-Liu-Sakamoto-Strain [{\\it Comm. Pure Appl. Math.} 74 (2021), no.~5, 932--1020] for the pure Landau/Boltzmann equation to the case of the VPL and VPB systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-10-29T03:55:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "low regularity solutions",
      "vlasov-poisson-landau/boltzmann system",
      "low regularity initial data",
      "large time behavior",
      "small amplitude solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}