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solv-intJul 1, 1994
28
citations (OpenAlex)
authors
  • Asher Yahalom
arXiv abstractPDF
paper

Helicity Conservation via the Noether Theorem

arXiv:solv-int/9407001 · doi:10.1063/1.531123

Abstract

The conservation of helicity in ideal barotropic fluids is discussed from a group theoretical point of view. A new symmetry group is introduced i.e. the alpha group of translations. It is proven via the Noether theorem that this group generates helicity conservation.

7 pages of tex

Cited by in corpus (12)

  • The interplay between helicity and rotation in turbulence: implications for scaling laws and small-scale dynamics
  • Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
  • Simplified Variational Principles for Barotropic Magnetohydrodynamics
  • Relativistic helicity and link in Minkowski space-time
  • A Conserved Cross Helicity for Non-Barotropic MHD
  • Simplified Variational Principles for non-Barotropic Magnetohydrodynamics
  • Simplified Variational Principles for Barotropic Fluid Dynamics
  • Relabeling symmetry in relativistic fluids and plasmas
  • Remarks on the Lie derivative in fluid mechanics
  • Noether Currents for Eulerian Variational Principles in Non Barotropic Magnetohydrodynamics and Topological Conservations Laws
  • On the MHD load and the MHD metage
  • A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics
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