Discriminant of the second order derivatives in the Grad–Shafranov equation plotted vs poloidal sonic Mach number for (a) , and (b) , . Negative (positive) values of indicate that the Grad–Shafranov equation is elliptic (hyperbolic).
The functions for , , (solid curve), and for (dashed line), 1.65 (dotted line), and 2.5 (dashed-dotted line). Solutions of the Bernoulli relation correspond to , i.e., intersections of the solid curve with the straight lines.
The functions for , , and (solid curve) and for (dashed-dotted line).
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