This article reviews recent activity on the Hamiltonian formulation of fluid models for plasmas
in the non-dissipative limit, with emphasis on the relations between the fluid closures …

A Lie-Poisson bracket is presented for a five-field gyrofluid model, thereby showing the
model to be Hamiltonian. The model includes the effects of magnetic field curvature and …

A necessary and sufficient condition for linear stability of inviscid parallel shear flow is
formulated by developing a novel variational principle, where the velocity profile is assumed …

Moment closures of the Vlasov-Ampère system, whereby higher moments are represented
as functions of lower moments with the constraint that the resulting fluid system remains …

The phase space of a noncanonical Hamiltonian system is partially inaccessible due to
dynamical constraints (Casimir invariants) arising from the kernel of the Poisson tensor …

Abstract Three applications of Hamiltonian Methods in Plasma Physics are presented. The
first application is the development of a new, five-field, Hamiltonian gyrofluid model. It is …