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

Autor: Yahalom, Asher, Qin, Hong
Předmět:
Zdroj: Journal of Fluid Mechanics; 2/10/2021, Vol. 908, p1-34, 34p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
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