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On the Blow-up Criterion of 3D-NSE in Sobolev-Gevrey Spaces
Journal article   Peer reviewed

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

Jamel Benameur and Lotfi Jlali
Journal of mathematical fluid mechanics, Vol.18(4), pp.805-822
01/12/2016
DOI: https://doi.org/10.1007/s00021-016-0263-8

Abstract

Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Science & Technology Technology
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.

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