Resistive MHD-equations for tokamaks with arbitrary β and cross section

The complete set of hydromagnetic equations for the vector potential A and the momentum density α identical rhoupsilon is transformed into a form appropriate for toroidal geometry. The toroidal components are represented by the usual poloidal flux functions psi and psi, respectively, for which the equations of motion are derived. The poloidal components Asub(perpendicular to) and αsub(perpendicular to) are given by four potentials PHI tilde, U, and PHI, u for which we obtain Poisson equations in the poloidal plane. (orig./WL)