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

DOI10.1017/jfm.2020.856zbMath1461.76569arXiv2005.14005OpenAlexW3032525132MaRDI QIDQ5144608

No author found.

Publication date: 19 January 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14005

zbMATH Keywords

variational methodstopological fluid dynamics

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Aharonov-Bohm effects in magnetohydrodynamics
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Metage symmetry group of non-barotropic magnetohydrodynamics and the conservation of cross helicity
• A New Diffeomorphism Symmetry Group of Magnetohydrodynamics
• Non-barotropic magnetohydrodynamics as a five function field theory
• A THEOREM ON FORCE-FREE MAGNETIC FIELDS
• An energy principle for hydromagnetic stability problems
• ON HYDROMAGNETIC EQUILIBRIUM
• Simplified variational principles for barotropic magnetohydrodynamics
• Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow
• Isocirculational flows and their Lagrangian and energy principles
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
• Invariants in dissipationless hydrodynamic media
• Helicity conservation via the Noether theorem
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 4. Generalized isovorticity principle for three-dimensional flows
• On magnetohydrodynamic gauge field theory
• AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS
• Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics I: Lie dragging approach
• Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics: II. Noether's theorems and Casimirs
• A conserved local cross helicity for non-barotropic MHD

This page was built for publication: Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws