Minimum Quadratic Helicity States
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 th...
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creator | Akhmet'ev, Petr M Candelaresi, Simon Alexandr Yu Smirnov |
description | 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. |
doi_str_mv | 10.48550/arxiv.1806.07428 |
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subjects | Eigenvectors Fluid dynamics Helicity Magnetohydrodynamics Mathematics - Differential Geometry Physics - Fluid Dynamics Physics - Solar and Stellar Astrophysics |
title | Minimum Quadratic Helicity States |
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