• DocumentCode
    3111122
  • Title

    A Blow-up criterion for the 3-D compressible Navier-Stokes equations

  • Author

    Bian, Dongfen ; Yuan, Baoquan ; Hu, Yue

  • Author_Institution
    Sch. of Math. & Inf. Sci., Henan Polytech. Univ., Jiaozuo, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    1098
  • Lastpage
    1102
  • Abstract
    In this paper, the blow-up criterion for the strong solutions to the compressible Navier-Stokes equations in ℝ3 is studied. We obtain that if supo≤t≤T ∥ρ(t)∥L∞ + ∥∇ρ(t)∥LTp(Lq(ℝ3)) + ∫oT ∥∇u(t)∥Ḃ∞,∞0 dt <; ∞, for 2/p + 3/q ≤ 2, 3 <; q <; ∞, then the strong solutions (ρ u) can be continued beyond T.
  • Keywords
    Navier-Stokes equations; compressible flow; 3D compressible Navier-Stokes equations; blow-up criterion; strong solutions; Equations; Heating; Information science; Mathematical model; Navier-Stokes equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765162
  • Filename
    5765162
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3111122