Minimum Quadratic Helicity States
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866929599229722624 |
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| author | Akhmet'ev, Petr M. Candelaresi, Simon Smirnov, Alexandr Yu |
| author_facet | Akhmet'ev, Petr M. Candelaresi, Simon Smirnov, Alexandr Yu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_07428 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Minimum Quadratic Helicity States Akhmet'ev, Petr M. Candelaresi, Simon Smirnov, Alexandr Yu Fluid Dynamics Solar and Stellar Astrophysics Differential Geometry 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. |
| title | Minimum Quadratic Helicity States |
| topic | Fluid Dynamics Solar and Stellar Astrophysics Differential Geometry |
| url | https://arxiv.org/abs/1806.07428 |