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In two dimensions (assuming axisymmetry), the force balance equation reduces to the | In two dimensions (assuming axisymmetry), the force balance equation reduces to the | ||
[[:Wikipedia:Grad-Shafranov equation|Grad-Shafranov equation]]. | [[:Wikipedia:Grad-Shafranov equation|Grad-Shafranov equation]]. | ||
In three dimensions, the existence of flux surfaces (nested or not) is not guaranteed. | |||
<ref>[http://dx.doi.org/10.1063/1.1761965 H. Grad, ''Toroidal Containment of a Plasma'', Phys. Fluids '''10''' (1967) 137]</ref> | |||
A large number of codes is available to evaluate MHD equilibria. | A large number of codes is available to evaluate MHD equilibria. |