Abstract The classical Chapman–Enskog procedure admits a substantial geometrical
generalization known as slow manifold reduction. This generalization provides a paradigm …

Recently, a family of models that couple multifluid systems to the full Maxwell equations
have been used in laboratory, space, and astrophysical plasma modeling. These models …

Kruskal [J. Math. Phys. 3, 806 (1962)] showed that each nearly periodic dynamical system
admits a formal U (1) symmetry, generated by the so-called roto-rate. We prove that such …

While it is well known that every nearly periodic Hamiltonian system possesses an adiabatic
invariant, extant methods for computing terms in the adiabatic invariant series are inefficient …

ABSTRACT A phase-space version of the ideal magnetohydrodynamic (MHD) Lagrangian is
derived from first principles and shown to give a relabeling transformation when a cross …

The study of X-point collapse in magnetic reconnection has witnessed extensive research in
the context of space and laboratory plasmas. In this paper, a recently derived mathematical …

Many non-dissipative reduced plasma models can be derived from more fundamental non-
dissipative models by restricting to an approximate invariant manifold. I present a general …

The guiding center plasma model (also known as kinetic MHD) is a rigorous sub-cyclotron-
frequency closure of the Vlasov-Maxwell system. While the model has been known for …

Nonlinear WKB is a multiscale technique for studying locally plane-wave solutions of
nonlinear partial differential equations (PDEs). Its application comprises two steps:(1) …

A Hamiltonian and action principle formalism for deriving three-dimensional gyroviscous
magnetohydrodynamic models is presented. The uniqueness of the approach in …