A COMPLETE SET OF RESISTIVE COMPRESSIVE BALLOONING EQUATIONS FOR 2-DIMENSIONAL FLOW EQUILIBRIA

Based on the linearized compressible resistive magnetohydrodynamic equations a system of five equations describing the time-dependent behavior of ballooning modes in equilibria with sheared flow is derived. The subsequent ordering scheme is based on the method of slowly varying amplitudes, where the fast variation is prescribed by an appropriately chosen eikonal. This method bears some resemblance to a scale expansion, where at the end only the first two scales are kept. © 1990 American Institute of Physics.