Conserved quantities, ie constants of motion, are critical for characterizing many dynamical
systems in science and engineering. These quantities are related to underlying symmetries …

In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical
Mechanics in the framework of Geometric Mechanics. This Souriau's model considers the …

Hamiltonian and action principle formulations of the basic equations of plasma physics are
reviewed. Various types of Lagrangian and Poisson bracket formulations for kinetic and fluid …

We identify effective carriers of Sargassum in the Caribbean Sea and describe a mechanism
for coastal choking. Revealed from satellite altimetry, the carriers of Sargassum are …

An inclusive framework for joined Hamiltonian and dissipative dynamical systems that are
thermodynamically consistent, ie, preserve energy and produce entropy, is given. The …

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 …

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) …

We derive and study stochastic dissipative dynamics on coadjoint orbits by incorporating
noise and dissipation into mechanical systems arising from the theory of reduction by …

The general, non-dissipative, two-fluid model in plasma physics is Hamiltonian, but this
property is sometimes lost or obscured in the process of deriving simplified (or reduced) two …

The Hamiltonian formulation of a plasma four-field fluid model that describes collisionless
reconnection is presented. The formulation is noncanonical with a corresponding Lie …