{
  "id": "1712.07677",
  "version": "v1",
  "published": "2017-12-20T19:16:47.000Z",
  "updated": "2017-12-20T19:16:47.000Z",
  "title": "A Riemann solver at a junction compatible with a homogenization limit",
  "authors": [
    "Mauro Garavello",
    "Francesca Marcellini"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a junction regulated by a traffic lights, with n incoming roads and only one outgoing road. On each road the Phase Transition traffic model, proposed in [6], describes the evolution of car traffic. Such model is an extension of the classic Lighthill-Whitham-Richards one, obtained by assuming that different drivers may have different maximal speed. By sending to infinity the number of cycles of the traffic lights, we obtain a justification of the Riemann solver introduced in [9] and in particular of the rule for determining the maximal speed in the outgoing road.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-20T19:16:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "90B20"
    ],
    "keywords": [
      "riemann solver",
      "homogenization limit",
      "junction compatible",
      "traffic lights",
      "phase transition traffic model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}