General equations for conservative yet dissipative (entropy producing) extended
magnetohydrodynamics are derived from two-fluid theory. Keeping all terms generates …

Electrostatic waves in a collision-free unmagnetized plasma of electrons with fixed ions are
investigated for electron equilibrium velocity distribution functions that deviate slightly from …

The dynamics of forming patterns in biological, chemical, and physical systems has received
considerable attention over recent years (see eg Cross and Hohenberg, 1993). In the …

A method, called beatification, is presented for rapidly extracting weakly nonlinear
Hamiltonian systems that describe the dynamics near equilibria of systems possessing …

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 …

A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered
and the stability properties of periodic steady state solutions known as Bernstein-Greene …

We derive the gauge-free Hamiltonian structure of an extended kinetic theory, for which the
intrinsic spin of the particles is taken into account. Such a semi-classical theory can be of …

In this paper, we present and discuss an example of exceptional points in the continuous
spectrum of a Hamiltonian of von Neumann–Wigner type associated with a double pole in …

Stability properties and mode signature for equilibria of a model of electron temperature
gradient (ETG) driven turbulence are investigated by Hamiltonian techniques. After deriving …

Invariance of wave-action for eigenmodes and continuum modes around quasistationary
equilibrium state is investigated in a general framework that allows for the ideal …