{
  "id": "1902.06970",
  "version": "v1",
  "published": "2019-02-19T09:38:44.000Z",
  "updated": "2019-02-19T09:38:44.000Z",
  "title": "Recent results on the singular local limit for nonlocal conservation laws",
  "authors": [
    "Maria Colombo",
    "Gianluca Crippa",
    "Marie Graff",
    "Laura V. Spinolo"
  ],
  "comment": "Proceeding of the \"XVII International Conference on Hyperbolic Problems: Theory, Numerics, Applications.\"",
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide an informal overview of recent developments concerning the singular local limit of nonlocal conservation laws. In particular, we discuss some counterexamples to convergence and we highlight the role of numerical viscosity in the numerical investigation of the nonlocal-to-local limit. We also state some open questions and describe recent related progress.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-19T09:38:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocal conservation laws",
      "singular local limit",
      "informal overview",
      "nonlocal-to-local limit",
      "open questions"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}