Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments

DOI10.1063/1.4944720zbMath1341.35164arXiv1512.05969OpenAlexW2303722094MaRDI QIDQ2798692

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Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1512.05969

zbMATH Keywords

plasmaHamiltonian dynamicsVlasov equationphase space moments

Mathematics Subject Classification ID

Poisson algebras (17B63) Motion of charged particles (78A35) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)

Related Items (1)

Numerical simulations of one laser-plasma model based on Poisson structure

Cites Work

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• Variational formulation of particle algorithms for kinetic plasma simulations
• Hamiltonian reductions for modeling relativistic laser-plasma interactions
• Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
• Vlasov moment flows and geodesics on the Jacobi group
• Hamiltonian description of the ideal fluid
• Moment invariants for the Vlasov equation
• EFFECTIVE EQUATIONS OF MOTION FOR QUANTUM SYSTEMS
• Finite dimensional lie‐poisson approximations to vlasov‐poisson equations
• Hamiltonian closures for fluid models with four moments by dimensional analysis

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