On the Blow-up Criterion of 3D-NSE in Sobolev–Gevrey Spaces

Abstract

In Benameur (Methods Appl 103:87–97, 2014), Benameur proved a blow-up result of the non regular solution of (NSE) in the Sobolev–Gevrey spaces. In this paper we improve this result, precisely we give an exponential type explosion in Sobolev–Gevrey spaces with less regularity on the initial condition. Fourier analysis and standard techniques are used.