%0 Journal Article %A Ben Omrane, Ines %A Gala, Sadek %A Kim, Jae-Myoung %A Ragusa, Maria Alessandra %T Logarithmically improved blow-up criterion for smooth solutions to the Leray-$\alpha $-magnetohydrodynamic equations %J Archivum mathematicum %D 2019 %P 55-68 %V 55 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2019-1-55/ %R 10.5817/AM2019-1-55 %G en %F 10_5817_AM2019_1_55