{
  "id": "2103.06753",
  "version": "v1",
  "published": "2021-03-11T16:07:39.000Z",
  "updated": "2021-03-11T16:07:39.000Z",
  "title": "Quasistatic limit for Burgers equation",
  "authors": [
    "Stefano Marchesani",
    "Stefano Olla",
    "Lu Xu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the quasi-static limit for the $L^\\infty$ entropic weak solution of the one-dimensional Burgers' equation with boundary conditions. The quasistationary profile evolves with the quasi-static Burgers' equation, whose entropic solution is determined by the stationary profile corresponding to the boundary data at a given time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-11T16:07:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L04",
      "35D40"
    ],
    "keywords": [
      "burgers equation",
      "quasistatic limit",
      "entropic weak solution",
      "boundary data",
      "quasi-static limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}