Higher order Hamiltonian fluid reduction of Vlasov equation
arXiv:1403.2614 · doi:10.1016/j.aop.2014.05.011
Abstract
From the Hamiltonian structure of the Vlasov equation, we build a Hamiltonian model for the first three moments of the Vlasov distribution function, namely, the density, the momentum density and the specific internal energy. We derive the Poisson bracket of this model from the Poisson bracket of the Vlasov equation, and we discuss the associated Casimir invariants.
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Cited by in corpus (6)
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- Hamiltonian fluid closures of the Vlasov-Amp{è}re equations: from water-bags to N moment models
- An integral transform technique for kinetic systems with collisions
- Hamiltonian fluid reduction of the 1.5D Vlasov-Maxwell equations
- Hierarchical foliation of one-dimensional Vlasov-Poisson system
- Four-field Hamiltonian fluid closures of the one-dimensional Vlasov-Poisson equation