Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field

In this work, we investigate the axisymmetric MHD system with nearly critical initial data having the special structure: u0 = u(0)(r)e(r)+ u(0)(theta)e(theta)+ u(0)(z)e(z), b(0) = b(0)(theta)e(theta). It is proved that if the scaling-invariant norm parallel to ru(0)(theta)parallel to(L8) is sufficiently small, then this system is globally well-posed. (c) 2022 Elsevier Inc. All rights reserved.

Automated summary

In this study, we investigate the globally well-posedness of the axisymmetric MHD system with nearly critical initial data having a special structure. It is proved that if the scaling-invariant norm parallel to ru(0)(theta)parallel to(L8) is sufficiently small, then this system is globally well-posed.