{
  "id": "0907.0873",
  "version": "v1",
  "published": "2009-07-05T16:04:22.000Z",
  "updated": "2009-07-05T16:04:22.000Z",
  "title": "Stabilities for Euler-Poisson Equations in Some Special Dimensions",
  "authors": [
    "Manwai Yuen"
  ],
  "comment": "15 pages",
  "journal": "J.Math.Anal.Appl.344:145-156,2008",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the stabilities and classical solutions of Euler-Poisson equations of describing the evolution of the gaseous star in astrophysics. In fact, we extend the study the stabilities of Euler-Poisson equations with or without frictional damping term to some special dimensional spaces. Besides, by using the second inertia function in 2 dimension of Euler-Poisson equations, we prove the non-global existence of classical solutions with $2\\int_{\\Omega}(\\rho| u| ^{2}+2P)dx<gM^{2}-\\epsilon$, for any $\\gamma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-05T16:04:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35B35",
      "76N99"
    ],
    "keywords": [
      "euler-poisson equations",
      "special dimensions",
      "stabilities",
      "classical solutions",
      "special dimensional spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0873Y"
    }
  }
}