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VOLUME 61 (1995) | ISSUE 3 | PAGE 186
On nonlinear MHD-stability of toroidal magnetized plasmas
The variational approach to analyze the nonlinear magnetohydrodynamical (MHD) stability of ideal plasmas in magnetic fields of toroidal topology is proposed. The potential energy functional used as Lyapunov functional is expressed in terms of complete set of independent Lagrangian invariants, that allows to take strictly into account all the restrictions inherent in the varied functions due to MHD dynamic equations. It is shown that there are no physical MHD perturbations being able to grow if the linear MHD stability is provided.