{
  "id": "1802.07645",
  "version": "v1",
  "published": "2018-02-21T16:16:22.000Z",
  "updated": "2018-02-21T16:16:22.000Z",
  "title": "Limiting behavior of solutions for Euler equations of compressible fluid flow",
  "authors": [
    "Manas Ranjan Sahoo",
    "Abhrojyoti Sen"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the limiting behavior of the solutions of Euler equations of one-dimensional compressible fluid flow as the pressure like term vanishes. This system can be thought of as an approximation for the one dimensional model for large scale structure formation of universe. We show that the solutions of former equation converges to the solution of later in the sense of distribution and agrees with the vanishing viscosity limit when the initial data is of Riemann type. A different approximations for the one dimensional model for large scale structure formation of universe are also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-21T16:16:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "35L67"
    ],
    "keywords": [
      "euler equations",
      "limiting behavior",
      "large scale structure formation",
      "dimensional model",
      "one-dimensional compressible fluid flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}