{
  "id": "1710.03851",
  "version": "v1",
  "published": "2017-10-10T22:58:51.000Z",
  "updated": "2017-10-10T22:58:51.000Z",
  "title": "Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains",
  "authors": [
    "Yunbai Cao",
    "Chanwoo Kim",
    "Donghyun Lee"
  ],
  "comment": "74 pages, submitted",
  "categories": [
    "math.AP"
  ],
  "abstract": "When dilute charged particles are confined in a bounded domain, boundary effects are crucial in the dynamics of particles. We construct a unique global-in-time solution to the Vlasov-Poisson-Boltzmann system in convex domains with the diffuse boundary condition. The construction is based on $L^{2}$-$L^{\\infty}$ framework with a new weighted $W^{1,p}$-estimate of distribution function and $C^{2}$-estimate of the self-consistent electric potential. Moreover we prove an exponential convergence of distribution function toward the global Maxwellian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-10T22:58:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global strong solutions",
      "vlasov-poisson-boltzmann system",
      "bounded domain",
      "distribution function",
      "diffuse boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 74,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}