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arXiv · 1502.04194

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

Jamel Benameur·Lotfi Jlali
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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.

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Jamel Benameur, Lotfi Jlali. 2015-02-14. On the blow up criterion of 3D-NSE in Sobolev-Gevrey spaces. https://doi.org/10.1007/s00021-016-0263-8

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