Moment invariants for the Vlasov equation

DOI10.1063/1.528703zbMath0712.58023OpenAlexW1991238040MaRDI QIDQ3197022

Darryl D. Holm, W. P. Lysenko, James C. Scovel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528703

zbMATH Keywords

Vlasov equationLie-Poisson structuremoment invariantsPoincaré invariants

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Statistical mechanics of plasmas (82D10)

Related Items (8)

Multipole vortex blobs (MVB): symplectic geometry and dynamics ⋮ A geometric framework for stochastic shape analysis ⋮ On geometry of multiscale mass action law and its fluctuations ⋮ Moment invariants for nonlinear Hamiltonian systems ⋮ Vlasov moments, integrable systems and singular solutions ⋮ Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket ⋮ Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments ⋮ Vlasov moment flows and geodesics on the Jacobi group

Cites Work

• On classical invariant theory and binary cubics
• Vlasov equations
• The moment map and collective motion
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Young–tableau methods for Kronecker products of representations of the classical groups
• Unitary Groups: Representations and Decompositions
• Construction of invariants for simple lie groups
• On the Momentum Problem for Distribution Functions in More than One Dimension

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