In the previous lecture it has been shown that the stabilized pinch may suffer from very localised surface instabilities. This has been demonstrated by constructing unstable perturbations but it has not been shown that these are the worst possible perturbations.nSuydam has generalised these results in two ways by trying to find the worst possible perturbation and by considering arbitrary configurations of a cylindrical plasma instead of only those of the stabilized pinch type. He has solved the third Euler-Lagrange equation of the energy principle and obtained a criterion for the resulting perturbation to be stable.
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