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A.H.Boozer Alfven wave application assume axisymmetric B.A.Carreras boundary layer calculate codes components Comput configuration coordinate system cylindrical plasma Debye shielding derivation design studies determine device dispersion relation displacement vector eigenvalue electric field electron Euler-Lagrange equation field line curvature Fluids 27 function Fusion Grad-Shafranov equation growth rate inertial term inside the plasma integration introduced J.M.Greene and J.L.Johnson Jacobian kink instability kink mode large aspect ratio lines of constant lowest order magnetic axis magnetic field lines magnetic island magnetic surface magnetosonic wave Maxwell's equations Mercier criterion MHD equations momentum Nagoya University Nuclear Fusion obtain Ohm's law order by order outer regions particles Phys plasma behavior Plasma Physics poloidal flux Princeton R.M.Kulsrud rational surface rotational transform scale Shafranov shear Alfven singular surface solution solve spectrum stability problem stellarator expansion stress tensor Suydam tokamak toroidal torus transport usually vanish velocity VV x V9