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physics.plasm-ph2020
A class of three-dimensional gyroviscous magnetohydrodynamic models
Manasvi Lingam, Philip J. Morrison, Alexander Wurm
A Hamiltonian and action principle formalism for deriving three-dimensional gyroviscous magnetohydrodynamic models is presented. The uniqueness of the approach in constructing the…
physics.plasm-ph2020
Lagrangian and Dirac constraints for the ideal incompressible fluid and magnetohydrodynamics
P. J. Morrison, T. Andreussi, F. Pegoraro
The incompressibility constraint for fluid flow was imposed by Lagrange in the so-called Lagrangian variable description using his method of multipliers in the Lagrangian (variatio…
math-ph2020
Deformation of Lie-Poisson algebras and chirality
Zensho Yoshida, Philip J. Morrison
Linearization of a Hamiltonian system around an equilibrium point yields a set of Hamiltonian-symmetric spectra: If is an eigenvalue of the linearized generator, and $\bar…