The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of
degrees of freedom is described. Rudimentary concepts of finite-degree-of-freedom …

The Liapunov method for establishing stability has been used in a variety of fluid and
plasma problems. For nondissipative systems, this stability method is related to well-known …

Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …

In the early nineteenth century, Poisson noticed that the vanishing of {/, g} and {/, h] imply
that of {/,{g, A}}; almost thirty years later Jacobi discovered the identity {/,{g, h}}={{/, g} …

The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

Morrison [25] has observed that the Maxwell-Vlasov and Poisson-Vlasov equations for a
collisionless plasma can be written in Hamiltonian form relative to a certain Poisson bracket …

The Hamiltonian description of hydrodynamic type systems in application to plasmas,
hydrodynamics, and magnetohydrodynamics is reviewed with emphasis on the problem of …

A paradigm for describing dynamical systems that have both Hamiltonian and dissipative
parts is presented. Features of generalized Hamiltonian systems and metric systems are …

The traditional method for obtaining a Hamiltonian system is by way of a Lagrangian, that is
obtained by physical considerations. The system is then Legendre transformed (if possible) …