• Title of article

    On the blow-up criterion of 3D Navier–Stokes equations

  • Author/Authors

    Benameur، نويسنده , , Jamel، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2010
  • Pages
    9
  • From page
    719
  • To page
    727
  • Abstract
    In this paper we prove some properties of the maximal solution of Navier–Stokes equations. If the maximum time T ν ∗ is finite, we establish that the growth of ‖ u ( t ) ‖ H ˙ s is at least of the order of ( T ν ∗ − t ) − s / 3 (see Eq. (1.4)), also we give some new blow-up results. Specific properties and standard techniques are used.
  • Keywords
    Regularity of generalized solutions , sobolev spaces , Blow-up criterion , Incompressible Navier–Stokes equations , Energy estimate
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2010
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1561297