Simplified variational principles for barotropic magnetohydrodynamics

DOI10.1017/S0022112008002024zbMath1146.76059arXiv0811.2309OpenAlexW3044490324MaRDI QIDQ3530770

D. Lynden-Bell, Asher Yahalom

Publication date: 20 October 2008

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

Full work available at URL: https://arxiv.org/abs/0811.2309

zbMATH Keywords

branch cutsEulerian variational principlestopological constants

Mathematics Subject Classification ID

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

Related Items (5)

A conserved local cross helicity for non-barotropic MHD ⋮ Practical use of variational principles for modeling water waves ⋮ Aharonov-Bohm effects in magnetohydrodynamics ⋮ Noether currents for Eulerian variational principles in non-barotropic magnetohydrodynamics and topological conservations laws ⋮ Variational principles for topological barotropic fluid dynamics

Cites Work

• The dynamics of isocirculational flows
• Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow
• On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
• 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
• The degree of knottedness of tangled vortex lines

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