On the Blow up criterion of 3D-Navier-Stokes equation in ${\dot{H}}^{5/2}$

Jamel Benameur, Hajer Orf

In this paper, we prove two results about the blow up criterion of the three-dimensional incompressible Navier-Stokes equation in the sobolev space ${\dot{H}}^{5/2}$. The first one im…