Decay And Vanishing Of The Vorticity Components Of The 3-D Steady Axially Symmetric MHD Equations

In this paper,we study the 3-D steady axially symmetric MHD equations:(?)The smooth functionis the fluid velocity,?is the magnetic field,is the pressure.Dirichlet integral bounded condition:(?)We first define the vorticity components of the MHD equations under cylindrical co-ordinates:(?)Then the vorticity equations are deduced by us,and we can deduce the decay estimate of the vorticity components.Compared with the vorticity equations of the 3-D steady axially symmetric Navier-Stokes equations,the magnetic field is added.To overcome this difficulty,we deal with equations by using the scaling and energy method,and ob-tain the decay and vanishing properties of the vorticity components of the 3-D steady axially symmetric MHD equations.