{
  "id": "1001.0385",
  "version": "v1",
  "published": "2010-01-03T16:12:21.000Z",
  "updated": "2010-01-03T16:12:21.000Z",
  "title": "Stabilities for Euler-Poisson Equations with Repulsive Forces in R^N",
  "authors": [
    "Manwai Yuen"
  ],
  "comment": "Key Words: Euler-Poisson Equations, Repulsive Forces, Stabilities, Frictional Damping, Second Inertia Function, Non-collapsing Solutions; 6 Pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article extends the previous paper in \"M.W. Yuen, \\textit{Stabilities for Euler-Poisson Equations in Some Special Dimensions}, J. Math. Anal. Appl. \\textbf{344} (2008), no. 1, 145--156.\", from the Euler-Poisson equations for attractive forces to the repulsive ones in $R^{N}$ $(N\\geq2)$. The similar stabilities of the system are studied. Additionally, we explain that it is impossible to have the density collapsing solutions with compact support to the system with repulsive forces for $\\gamma>1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-03T16:12:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35B35",
      "76N99"
    ],
    "keywords": [
      "euler-poisson equations",
      "repulsive forces",
      "special dimensions",
      "compact support",
      "similar stabilities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}