Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

DOI10.1016/j.aop.2015.08.001zbMath1343.76072OpenAlexW1146671713MaRDI QIDQ307561

Mohammad Hasan, M. Dambrine

Publication date: 2 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.aop.2015.08.001

zbMATH Keywords

drift-fluid modeldrift-kineticfluid closurenoncanonical Hamiltonian formulation

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (6)

Poisson brackets and truncations in nonlinear reduced fluid models for plasmas ⋮ A Poisson map from kinetic theory to hydrodynamics with non-constant entropy ⋮ Generalized Hamiltonian drift-fluid and gyrofluid reductions ⋮ Hamiltonian reduced fluid model for plasmas with temperature and heat flux anisotropies ⋮ Hamiltonian gyrofluid reductions of gyrokinetic equations ⋮ Formal stability in Hamiltonian fluid models for plasmas

Cites Work

• Higher-order Hamiltonian fluid reduction of Vlasov equation
• A compressible Hamiltonian electromagnetic gyrofluid model
• Vlasov moments, integrable systems and singular solutions
• Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
• Collisionless Boltzmann equations and integrable moment equations
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Reductions of kinetic equations to finite component systems
• Classification and Casimir invariants of Lie-Poisson brackets
• FLR-Landau fluids for collisionless plasmas
• On self-consistent finite-mode approximations in (quasi-) two-dimensional hydrodynamics and magnetohydrodynamics
• Nonlinear stability of fluid and plasma equilibria
• Hamiltonian description of the ideal fluid
• Mixing of the Electron Distribution Function in Nonlinear 2D Magnetic Reconnection
• Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations

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