On the blow‐up criterion of 3D Navier‐Stokes equation in

Abstract

In this paper, we prove two results about the blow-up criterion of the three-dimensional incompressible Navier-Stokes equation in the Sobolev space . H 5∕2 . The first one improves the result of Cortissoz et al. The second deals with the relationship of the blow up in . H 5∕2 and some critical spaces. Fourier analysis and standard techniques are used.