{
  "id": "2310.00537",
  "version": "v1",
  "published": "2023-10-01T01:31:07.000Z",
  "updated": "2023-10-01T01:31:07.000Z",
  "title": "On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux",
  "authors": [
    "Hossein Nick Zinat Matin",
    "Maria Laura Delle Monache"
  ],
  "comment": "51 pages, 29 Figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, a PDE-ODE model with discontinuity in the flux as well as a flux constraint is analyzed. A modified Riemann solution is proposed and the existence of a weak solution to the Cauchy problem is rigorously investigated using the wavefront tracking scheme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-01T01:31:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65"
    ],
    "keywords": [
      "conservation law",
      "moving bottleneck",
      "discontinuity",
      "wavefront tracking scheme",
      "cauchy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}