A simple proof of blow up criterion of Bjorland and Vasseur for Navier-Stokes equations

Abstract

In this paper, we present a simple proof of blow up criterion of Bjorland and Vasseur for three dimensional Navier-Stokes equations by energy method and some facts in real analysis.

This paper has been withdrawn by the author due to the result is a special case of the published paper "Logarithmically improved regularity criteria for the Naiver-Stokes equations in multiplier space" by Zhou Y. and S. Gala