{
  "id": "2308.16387",
  "version": "v1",
  "published": "2023-08-31T01:26:48.000Z",
  "updated": "2023-08-31T01:26:48.000Z",
  "title": "Stability and instability for compressible Navier-Stokes equations with Yukawa potential",
  "authors": [
    "Juanzi Cai",
    "Zhiang Wu",
    "Guochun Wu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we first consider global well-posedness and long time behavior of compressible Navier-Stokes equations with Yukawa-type potential in $L^p$-framework under the stability condition $P'(\\bar\\rho)+\\gamma\\bar\\rho>0$. Here $\\bar\\rho>0$ is the background density, P is the pressure and $\\gamma\\in\\mathbb{R}$ is Yukawa coefficient. This is a continuity work of Chikami \\cite{chikami1} concerning on local existence and blow-up criterion. On the other hand, we study the instability of the linear and nonlinear problem of the system when $P'(\\bar\\rho)+\\gamma\\bar\\rho<0$ in the Hadamard sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-31T01:26:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "74H40",
      "76N10"
    ],
    "keywords": [
      "compressible navier-stokes equations",
      "yukawa potential",
      "instability",
      "long time behavior",
      "yukawa coefficient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}