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

Asher Yahalom, Hong Qin

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Article numberA4
JournalJournal of Fluid Mechanics
Volume908
DOIs
StatePublished - 2020

Keywords

  • topological fluid dynamics
  • variational methods

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