Poisson structure of the equations of ideal multispecies fluid electrodynamics

DOI10.1063/1.526460zbMath0572.76126OpenAlexW2083518289MaRDI QIDQ3690516

Richard G. Spencer

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526460

zbMATH Keywords

Jacobi identityPoisson bracketHamiltonian field theoriesnoncanonical structuretwo-(or multi-) fluid model

Mathematics Subject Classification ID

Hamilton's equations (70H05) Magnetohydrodynamics and electrohydrodynamics (76W05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Partial differential equations on manifolds; differential operators (58Jxx) Classical field theories (70Sxx)

Related Items (2)

A Hamiltonian approach to normal mode coupling in a Coulomb plasma ⋮ Theorem on linearized Hamiltonian systems

Cites Work

• The Hamiltonian structure of the Maxwell-Vlasov equations
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Reduction of symplectic manifolds with symmetry
• A universal phase space for particles in Yang-Mills fields
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Elementary derivation of Poisson structures for fluid dynamics and electrodynamics
• On the quantization of the new field theory II

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