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 …

Stability of inviscid shear shallow water flows with free surface is studied in the framework of
the Benney equations. This is done by investigating the generalized hyperbolicity of the …

We present an infinite family of Hamiltonian electromagnetic fluid models for plasmas,
derived from drift-kinetic equations. An infinite hierarchy of fluid equations is obtained from a …

The Hamiltonian structure for an infinite class of nonlinear reduced fluid models, derived
from a Hamiltonian drift-kinetic system, is explicitly provided in terms of the N+ 1 fluid …

For an arbitrary number of species, we derive a Hamiltonian fluid model for strongly
magnetized plasmas describing the evolution of the density, velocity, and electromagnetic …

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 …

Kinetic theory describes a dilute monatomic gas using a distribution function f (q, p, t), the
expected phase-space density of particles at a given position q with a given momentum p …

We consider the Vlasov–Maxwell equations with one spatial direction and two momenta. By
solving the Jacobi identity, we derive reduced Hamiltonian fluid models for the density, the …

In this thesis, we study three applications of the noncanonical Hamiltonian formalism to fluid
dynamics and the kinetic theory of gases and polymers. The first application is in polymer …

In this paper, the two-dimensional Benney system describing long wave propagation of a
finite depth fluid motion and the multi-dimensional Russo–Smereka kinetic equation …