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LOGARITHMICALLY IMPROVED BLOW-UP CRITERION FOR SMOOTH SOLUTIONS TO THE LERAY-alpha-MAGNETOHYDRODYNAMIC EQUATIONS
Journal article   Open access  Peer reviewed

LOGARITHMICALLY IMPROVED BLOW-UP CRITERION FOR SMOOTH SOLUTIONS TO THE LERAY-alpha-MAGNETOHYDRODYNAMIC EQUATIONS

Ines Ben Omrane, Sadek Gala, Jae-Myoung Kim and Maria Alessandra Ragusa
ARCHIVUM MATHEMATICUM, Vol.55(1), pp.55-68
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, the Cauchy problem for the 3D Leray-alpha-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-alpha-MHD model in terms of the magnetic field B only in the framework of homogeneous Besov space with negative index.
url
https://doi.org/10.5817/AM2019-1-55View
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