Minimum Quadratic Helicity States
Fluid Dynamics
2024-11-22 v2 Solar and Stellar Astrophysics
Differential Geometry
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.
Cite
@article{arxiv.1806.07428,
title = {Minimum Quadratic Helicity States},
author = {Petr M. Akhmet'ev and Simon Candelaresi and Alexandr Yu Smirnov},
journal= {arXiv preprint arXiv:1806.07428},
year = {2024}
}
Comments
15 pages, 3 figures