Minimum Quadratic Helicity States
arXiv:1806.07428 · doi:10.1017/S0022377818001095
Abstract
Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. Those are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incompressible ideal MHD equations. We then show that these states have indeed minimum quadratic helicity.
15 pages, 3 figures
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