{
  "id": "2006.15301",
  "version": "v1",
  "published": "2020-06-27T07:00:02.000Z",
  "updated": "2020-06-27T07:00:02.000Z",
  "title": "Stochastic Perturbation of the Lighthill-Whitham-Richards Model via the Method of Stochastic Characteristics",
  "authors": [
    "Nora Müller",
    "Wolfgang Bock"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this paper we apply the method of stochastic characteristics to a Lighthill-Whitham-Richards model. The stochastic perturbation can be seen as errors in measurement of the traffic density. For concrete examples we solve the equation perturbed by a standard Brownian motion and the geometric Brownian motion without drift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-27T07:00:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic perturbation",
      "stochastic characteristics",
      "lighthill-whitham-richards model",
      "standard brownian motion",
      "geometric brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}