On axially symmetric incompressible magnetohydrodynamics in three dimensions

In the short article we study the ideal incompressible magnetohydrodynamic equations in three dimensions in which the Faraday law is inviscid. We prove the global well-posedness of classical solutions for a family of special axisymmetric initial data whose swirl components of the velocity field and magnetic voracity field are trivial. (C) 2015 Elsevier Inc. All rights reserved.