{
  "id": "2301.03986",
  "version": "v1",
  "published": "2023-01-10T14:36:03.000Z",
  "updated": "2023-01-10T14:36:03.000Z",
  "title": "The Riemann problem for equations of a cold plasma",
  "authors": [
    "Olga S. Rozanova"
  ],
  "comment": "15 pages, 8 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A solution of the Riemann problem is constructed for a nonstrictly hyperbolic inhomogeneous system of equations describing one-dimensional cold plasma oscillations. Each oscillation period includes one rarefaction wave and one shock wave containing a delta singularity. The rarefaction wave can be constructed in a non-unique way, the admissibility principle is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-10T14:36:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q60",
      "35L60",
      "35L67",
      "34M10"
    ],
    "keywords": [
      "riemann problem",
      "rarefaction wave",
      "one-dimensional cold plasma oscillations",
      "shock wave",
      "admissibility principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}