{
  "id": "2102.07876",
  "version": "v1",
  "published": "2021-02-15T22:35:21.000Z",
  "updated": "2021-02-15T22:35:21.000Z",
  "title": "Approximating viscosity solutions of the Euler system",
  "authors": [
    "Eduard Feireisl",
    "Mária Lukáčová-Medviďová",
    "Simon Schneider",
    "Bangwei She"
  ],
  "comment": "42 pages",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the Viscosity Finite Volume method. Theoretical results are illustrated by numerical simulations of the Kelvin--Helmholtz instability problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-15T22:35:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76N17"
    ],
    "keywords": [
      "euler system",
      "approximating viscosity solutions",
      "viscosity finite volume method",
      "kelvin-helmholtz instability problem",
      "vanishing viscosity solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}