{
  "id": "2408.01811",
  "version": "v1",
  "published": "2024-08-03T15:36:16.000Z",
  "updated": "2024-08-03T15:36:16.000Z",
  "title": "Regularizing factors for the Euler-Poisson equations",
  "authors": [
    "Olga S. Rozanova"
  ],
  "comment": "10 pages, 2 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "he Cauchy problem for the Euler-Poisson equations without pressure is considered and the question of what additional terms added to the system can delay or completely prevent the loss of smoothness of the solution in a finite time is studied. We review already published and recent results in this field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-03T15:36:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F55",
      "35B44",
      "35B20"
    ],
    "keywords": [
      "euler-poisson equations",
      "regularizing factors",
      "cauchy problem",
      "additional terms",
      "finite time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}