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

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.

Automated summary

This paper establishes an improved regularity criterion for weak solutions of 3D incompressible MHD equations, showing that weak solutions are regular under certain conditions. This improvement builds upon previous works in the field.