{
  "id": "1809.02498",
  "version": "v1",
  "published": "2018-09-05T23:56:24.000Z",
  "updated": "2018-09-05T23:56:24.000Z",
  "title": "Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity",
  "authors": [
    "Bin Huang",
    "Xiaoding Shi",
    "Ying Sun"
  ],
  "comment": "13. arXiv admin note: text overlap with arXiv:1809.00467",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the compressible Navier-Stokes system where the viscosity depends on density and the heat conductivity is proportional to a positive power of the temperature under stress-free and thermally insulated boundary conditions. Under the same conditions on the initial data as those of the constant viscosity and heat conductivity case ([Kazhikhov-Shelukhin. J. Appl. Math. Mech. 41 (1977)], we obtain the existence and uniqueness of global strong solutions. Our result can be regarded as a natural generalization of the Kazhikhov's theory for the constant heat conductivity case to the degenerate and nonlinear one under stress-free and thermally insulated boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-05T23:56:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76N10"
    ],
    "keywords": [
      "global strong solutions",
      "compressible navier-stokes system",
      "degenerate heat conductivity",
      "density-depending viscosity",
      "thermally insulated boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}