{
  "id": "2212.07031",
  "version": "v1",
  "published": "2022-12-14T04:52:01.000Z",
  "updated": "2022-12-14T04:52:01.000Z",
  "title": "Weak solutions of 3D compressible Navier-Stokes equations in critical case",
  "authors": [
    "Pavel I. Plotnikov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "New estimates of the potentials of solutions to the compressible Navier-Stokes equations are derived. The result obtained are applied to boundary value problems for the compressible Navier-Stokes equations with the critical adiabatic exponents. The cancelation of concentrations of the kinetic energy density is proved",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-14T04:52:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "J.2"
    ],
    "keywords": [
      "3d compressible navier-stokes equations",
      "weak solutions",
      "critical case",
      "kinetic energy density",
      "boundary value problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}