Results
Title

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

Authors

BEN OMRANE, INES; GALA, SADEK; JAE-MYOUNG KIM; RAGUSA, MARIA ALESSANDRA

Abstract

In this paper, the Cauchy problem for the 3D Leray-α-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-α-MHD model in terms of the magnetic field B only in the framework of homogeneous Besov space with negative index.

Subjects

BLOWING up (Algebraic geometry); BESOV spaces; HOMOGENEOUS spaces; EQUATIONS; MAGNETIC fields; TECHNICAL specifications; CAUCHY problem

Publication

Archivum Mathematicum, 2019, Vol 55, Issue 1, p55

ISSN

0044-8753

Publication type

Academic Journal

DOI

10.5817/AM2019-1-55