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

Abstract

In \cite{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.

15 pages

Cited by in corpus (2)

• Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes
• Long time decay for 3D-NSE in Gevrey-Sobolev spaces