127 citations · 545 across the 18 of their papers we have counts for
6 papers · 1 filter
Vorticity and Symplecticity in Multi-Symplectic Lagrangian Gas Dynamics
G. M. Webb, S. C. Anco
The Lagrangian, multi-dimensional, ideal, compressible gasdynamic equations are written in a multi-symplectic form, in which the Lagrangian fluid labels, (the Lagrangian mass…
Multi-Symplectic Lagrangian, One-Dimensional Gas Dynamics
G. M. Webb
The equations of Lagrangian, ideal, one-dimensional (1D), compressible gas dynamics are written in a multi-symplectic form using the Lagrangian mass coordinate and time as…
Potential Vorticity in Magnetohydrodynamics
G. M. Webb, R. L. Mace
A version of Noether's second theorem using Lagrange multipliers is used to investigate fluid relabelling symmetries conservation laws in magnetohydrodynamics (MHD). We obtain a ne…
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…