Lyapunov stability of MHD-like plasmas with flows

Summary form only given, as follows. An adequate variational approach allowing for a stability analysis of plasmas with stationary flows is developed. This approach generalizes the method successfully applied to ideal magnetohydrodynamics (MHD) with both isotropic and anisotropic plasma pressure for a case of a nonabelian Hamiltonian plasma dynamics obeying, e.g., the Hall MHD or electron MHD. The key element of the approach is the use of the Clebsh-like representation of Hamiltonian instead of the adding to the Hamiltonian an arbitrary chosen set of Casimirs (while the whole set is infinite). Such a procedure makes the sufficient stability criterion to be obtained closer to a necessary one than earlier known.