On electromagnetic fields in the Hamiltonian description of continua

DOI10.1016/0034-4877(86)90002-9zbMath0639.58039OpenAlexW2025647486MaRDI QIDQ1099861

Günter Schwarz

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90002-9

zbMATH Keywords

Maxwell-Vlasov systeminfinite dimensional Hamiltonian formulation of continuum mechanics

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Electromagnetic theory (general) (78A25)

Cites Work

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• The local structure of Poisson manifolds
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Reduction of symplectic manifolds with symmetry
• A universal phase space for particles in Yang-Mills fields
• Nonlinear stability of fluid and plasma equilibria

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