Metage symmetry group of non-barotropic magnetohydrodynamics and the conservation of cross helicity

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Abstract

Standard cross helicity is not conserved in non-barotropic magnetohydrodynamics (MHD) (as opposed to barotropic or incompressible MHD). It was shown that a new kind of cross helicity which is conserved in the non barotropic case can be introduced. The non barotropic cross helicity reduces to the standard cross helicity under barotropic assumptions. Here we show that the new cross helicity can be deduced from a variational principle using the Noether’s theorem. The symmetry group associated with the new cross helicity is related to translation in a labelling of the flow elements connected to the magnetic field lines known as magnetic metage.

Original languageEnglish
Title of host publicationQuantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017
EditorsVladimir Dobrev
Pages387-402
Number of pages16
DOIs
StatePublished - 2018
EventInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017 - Varna, Bulgaria
Duration: 19 Jun 201725 Jun 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume255
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017
Country/TerritoryBulgaria
CityVarna
Period19/06/1725/06/17

Keywords

  • Cross helicity
  • Magnetohydrodynamics
  • Metage
  • Symmetry group
  • Topological conservation laws

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