TY - JOUR T1 - Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System AU - Liu , Xuemeng JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 577 EP - 601 PY - 2022 DA - 2022/06 SN - 3 DO - http://doi.org/10.12150/jnma.2021.577 UR - https://global-sci.org/intro/article_detail/jnma/20685.html KW - Axisymmetric solutions, Regularity criterion, Incompressible magnetohydrodynamics. AB -

In this paper, we consider Cauchy problem of the axially symmetric Magnetohydrodynamic (MHD) system. By using energy method, we establish some regularity criteria of the solutions for the axisymmetric solutions of the three dimensional incompressible MHD system.