We review the progress made, during the last decade, on the analysis of formal stability for
Hamiltonian fluid models for plasmas, carried out by means of the energy-Casimir (EC) …

This paper investigates hybrid kinetic-magnetohydrodynamic (MHD) models, where a hot
plasma (governed by a kinetic theory) interacts with a fluid bulk (governed by MHD) …

Professor Davidson passed away two days after we finished the final revision of the
manuscript. This paper tries to answer the general question of how a plasma becomes …

Fluid reductions of the Vlasov–Ampère equations that preserve the Hamiltonian structure of
the parent kinetic model are investigated. Hamiltonian closures using the first four moments …

This paper provides rigorous derivation of a Hamiltonian from a given Lagrangian of solid
continuum, for a possible improvement of dynamic analysis. The derived Hamiltonian, unlike …

A model for describing the dynamics of a pure electron plasma in the presence of a
population of massive charged particles is presented. The model couples the fluid dynamics …

The equilibria and stability of self-gravitating liquid masses has been studied and debated
for more than a century by great physicists and mathematicians such as Newton, Maclaurin …

The Continuum Hamiltonian Hopf Bifurcation of Vlasov Theory Page 1 The Continuum
Hamiltonian Hopf Bifurcation of Vlasov Theory PJ Morrison Department of Physics and …