A Conserved Cross Helicity for Non-Barotropic MHD
arXiv:1605.02537 · doi:10.1080/03091929.2017.1281410
Abstract
Cross helicity is not conserved in non-barotropic magnetohydrodynamics (MHD) (as opposed to barotropic or incompressible MHD). Here we show that variational analysis suggests a new kind of cross helicity which is conserved in the non barotropic case. The non barotropic cross helicity reduces to the standard cross helicity under barotropic assumptions. The new cross helicity is conserved even for topologies for which the variational principle does not apply.
3 pages. arXiv admin note: text overlap with arXiv:1510.00637
Cited by in corpus (6)
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- Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws
- Godbillon-Vey Helicity and Magnetic Helicity in Magnetohydrodynamics
- On the removal of the barotropic condition in helicity studies of the compressible Euler and ideal compressible MHD equations
- Action Principles and Conservation Laws for Chew-Goldberger-Low Anisotropic Plasmas
- A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics