On the Solvability of Magnetic Differential Equations

الأصل · EN

The calculation of both resistive and ideal plasma equilibria amounts to solving a number of magnetic differential equations which are of the type B· ∇ Φ=s. We apply the necessary and sufficient criterion for the existence of the potential Φ and find that a static equilibrium configuration of a magnetically confined plasma does not exist in axi-symmetric toroidal geometry.