43 citations · 94 across the 5 of their papers we have counts for
5 papers
Multi-Symplectic Magnetohydrodynamics: II, Addendum and Erratum
G. M. Webb, J. F. McKenzie, G. P. Zank
A recent paper arXiv:1312.4890 on multi-symplectic magnetohydrodynamics (MHD) using Clebsch variables in an Eulerian action principle with constraints is further extended. We relat…
Hydromagnetic Waves in a Compressed Dipole Field via Field-Aligned Klein-Gordon Equations
Jinlei Zheng, Qiang Hu, J. F. McKenzie +1
Hydromagnetic waves, especially those of frequencies in the range of a few milli-Hz to a few Hz observed in the Earth's magnetosphere, are categorized as Ultra Low Frequency (ULF)…
Multi-Symplectic Magnetohydrodynamics
G. M. Webb, J. F. McKenzie, G. P. Zank
A multi-symplectic formulation of ideal magnetohydrodynamics (MHD) is developed based on a Clebsch variable variational principle in which the Lagrangian consists of the kinetic mi…
Local and Nonlocal Advected Invariants and Helicities in Magnetohydrodynamics and Gas Dynamics I: Lie Dragging Approach
Gary M. Webb, Brahmananda Dasgupta, James F McKenzie +2
In this paper we discuss conservation laws in ideal magnetohydrodynamics (MHD) and gas dynamics associated with advected invariants. The invariants in some cases, can be related to…
Local and Nonlocal Advected Invariants and Helicities in Magnetohydrodynamics and Gas Dynamics II: Noether's Theorems and Casimirs
G. M. Webb, B. Dasgupta, J. F. McKenzie +2
Conservation laws in ideal gas dynamics and magnetohydrodynamics (MHD) associated with fluid relabelling symmetries are derived using Noether's first and second theorems. Lie dragg…