On nonlinear MHD-stability of toroidal magnetized plasmas
Ilgisonis V. I. , Pastukhov V. P.
The variational approach to analyze the nonlinear magnetohydrodynamic (MHD) stability of ideal plasmas in magnetic fields of toroidal topology is proposed. The potential energy functional used as the Lyapunov functional is expressed in terms of a complete set of independent Lagrangian invariants, which allows one to take strictly into account all the restrictions inherent in the varied functions due to MHD dynamic equations. It is shown that no physical MHD perturbations can grow if the linear MHD stability is provided. © 1995 American Institute of Physics.