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) …

It is shown that the Fokker–Planck equation describing diffusion processes in noncanonical
Hamiltonian systems exhibits a metriplectic structure, ie an algebraic bracket formalism that …

We study the point spectrum of the linearisation of Euler's equation for the ideal fluid on the
torus about a shear flow. By separation of variables the problem is reduced to the spectral …

The object of this study is the statistical mechanics of dynamical systems lacking a
Hamiltonian structure due to the presence of non-integrable topological constraints that limit …

The Euler equations on a three-dimensional periodic domain have a family of shear flow
steady states. We derive a formulation of the dynamics of the vorticity Fourier modes on a …