On the blow up criterion of 3D-NSE in Sobolev-Gevrey spaces

Abstract

In JB1, 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 is used.

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