{
  "id": "0808.0123",
  "version": "v1",
  "published": "2008-08-01T14:13:40.000Z",
  "updated": "2008-08-01T14:13:40.000Z",
  "title": "Existence and asymptotics of solutions of the Debye-Nernst-Planck system in R^2",
  "authors": [
    "A. Herczak",
    "M. Olech"
  ],
  "comment": "22 pages, packages used: amsmath, amssymb, nicefrac, bbm, mathrsfs",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we investigate a system describing electrically charged particles in the whole space R^2. Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-01T14:13:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35K15",
      "35Q99",
      "78A35",
      "92E99"
    ],
    "keywords": [
      "debye-nernst-planck system",
      "asymptotics",
      "radially symmetric self-similar solutions",
      "large time behavior",
      "initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0123H"
    }
  }
}