• Title of article

    A NEW REGULARITY CRITERION FOR THE NAVIER-STOKES EQUATIONS

  • Author/Authors

    YUE ، HU - Henan Polytechnic University , LI ، WU-MING - Henan Polytechnic University

  • Pages
    4
  • From page
    126
  • To page
    129
  • Abstract
    We study the incompressible Navier-Stokes equations in the entire three-dimensional space. We prove that if ∂3u3∈Ls1tLr1x and u1u2∈Ls2tLr2x, then the solution is regular. Here2s1+3r1≤1,3≤r1≤∞,2s2+3r2≤1 and 3≤r 2≤∞.
  • Keywords
    Navier , Stokes equations , Leray , Hopf weak solution , Regularity
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2011
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2474703