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DOE OSTI · 1810623

Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws

Yahalom, Asher·Qin, Hong
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Abstract

We derive a Noether current for the Eulerian variational principle of ideal non-barotropic magnetohydrodynamics (MHD). It was shown previously that ideal non-barotropic MHD is mathematically equivalent to a five function field theory with an induced geometrical structure in the case that field lines cover surfaces and this theory can be described using a variational principle. Here we use various symmetries of the flow to derive topological constants of motion through the derived Noether current and discuss their implication for non-barotropic MHD.

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Yahalom, Asher, Qin, Hong. 2020-12-02. Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws. https://doi.org/10.1017/jfm.2020.856

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