{
  "id": "1512.01788",
  "version": "v1",
  "published": "2015-12-06T13:10:25.000Z",
  "updated": "2015-12-06T13:10:25.000Z",
  "title": "Large time behavior for the non-isentropic Navier-Stokes-Maxwell system",
  "authors": [
    "Qingqing Liu",
    "Yifan Su"
  ],
  "comment": "29 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we are concerned with the system of the non-isentropic compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The global existence of solutions near constant steady states is established, and the time-decay rates of perturbed solutions are obtained. The proof for existence is due to the classical energy method, and the investigation of large-time behavior is based on the linearized analysis of the non-isentropic Navier-Stokes-Poisson equations and the electromagnetic part for the linearized isentropic Navier-Stokes-Maxwell equations. In the meantime, the time-decay rates obtained by Zhang, Li, and Zhu~[{\\it J. Differential Equations, 250(2011), 866-891}] for the linearized non-isentropic Navier-Stokes-Poisson equations are improved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-06T13:10:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J08",
      "35B40",
      "35Q30",
      "35Q61"
    ],
    "keywords": [
      "large time behavior",
      "non-isentropic navier-stokes-maxwell system",
      "time-decay rates",
      "non-isentropic compressible navier-stokes equations",
      "linearized non-isentropic navier-stokes-poisson equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151201788L"
    }
  }
}