Variational stability problem for mhd model with Hall effect

Hall effect is known to be especially significant for compressible plasmas with flows that are usual for the present-day fusion experiments. Hall effe ct is able to change a behavior of the plasma parameters typical for ideal magnetohydrodynamics (MHD), e.g., it produces nonmonotonic density profile, current eddies, and modifies plasma stability conditions. The existence of the Ball effect was verified both experimentally and computationally. Howe ver, still now there is no general formalism, which would allow to analyse plasma, stability accounting for the Ball effect in the systems of rather g eneral geometry.