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A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations
Journal article   Peer reviewed

A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations

Ines Ben Omrane, Sadek Gala and Maria Alessandra Ragusa
Zeitschrift für angewandte Mathematik und Physik, Vol.72(3)
01/06/2021
DOI: https://doi.org/10.1007/s00033-021-01543-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper devotes to establish an improved regularity criterion for weak solution of 3D incompressible MHD equations. We show that the weak solution is regular, provided that integral(T)(0) parallel to pi(,t)parallel to(2)(B infinity,infinity-1)/(e + ln(e + parallel to pi(,t)parallel to(B infinity,infinity-1))) ln (e+ln(e+parallel to pi(,t)parallel to(B infinity,infinity-1))) dt < infinity. As a consequence, this improves some previous works.

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