| has gloss | eng: The Grad-Shafranov equation (H. Grad and H. Rubin (1958); Shafranov (1966)) is the equilibrium equation in ideal magnetohydrodynamics (MHD) for a two dimensional plasma, for example the axisymmetric toroidal plasma in a tokamak. This equation is a two-dimensional, nonlinear, elliptic partial differential equation obtained from the reduction of the ideal MHD equations to two dimensions, often for the case of toroidal axisymmetry (the case relevant in a tokamak). Interestingly the flux function \psi is both a dependent and an independent variable in this equation: |