{
  "id": "1406.3694",
  "version": "v1",
  "published": "2014-06-14T07:07:17.000Z",
  "updated": "2014-06-14T07:07:17.000Z",
  "title": "Well-posedness for the Euler-Nernst-Planck-Possion system in Besov spaces",
  "authors": [
    "Zeng Zhang",
    "Zhaoyang Yin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we mainly study the Cauchy problem of the Euler-Nernst-Planck-Possion ($ENPP$) system. We first establish local well-posedness for the Cauchy problem of the $ENPP$ system in Besov spaces. Then we present a blow-up criterion of solutions to the $ENPP$ system. Moreover, we prove that the solutions of the Navier-Stokes-Nernst-Planck-Possion system converge to the solutions of the $ENPP$ system as the viscosity $\\nu$ goes to zero, and that the convergence rate is at least of order ${\\nu}^\\frac{1}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-14T07:07:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "besov spaces",
      "euler-nernst-planck-possion system",
      "cauchy problem",
      "navier-stokes-nernst-planck-possion system converge",
      "first establish local well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3694Z"
    }
  }
}