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# Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem

@inproceedings{Hudsona2007EigenvaluePF, title={Eigenvalue problems for Beltrami fields arising in a three-dimensional toroidal magnetohydrodynamic equilibrium problem}, author={S. R. Hudsona and Matthew J. Hole and Robert L. Dewar}, year={2007} }

- Published 2007

A generalized energy principle for finite-pressure, toroidal magnetohydrodynamic MHD equilibria in general three-dimensional configurations is proposed. The full set of ideal-MHD constraints is applied only on a discrete set of toroidal magnetic surfaces invariant tori , which act as barriers against leakage of magnetic flux, helicity, and pressure through chaotic field-line transport. It is argued that a necessary condition for such invariant tori to exist is that they have fixed, irrational… CONTINUE READING