Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2016

Hamiltonian fluid reductions of drift-kinetic equations and the link with water-bags

Résumé

Hamiltonian models for the first three moments of the drift-kinetic distribution function, namely the density, the fluid velocity and the parallel pressure, are derived from the Hamiltonian structure of the drift-kinetic equations. The link with the water-bag closure is established, showing that, unlike the one-dimensional Vlasov equations, these solutions are the only Hamiltonian fluid reductions for the drift-kinetic equation. These models are discussed through their equations of motion and their Casimir invariants.

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hal-01214322 , version 1 (12-10-2015)

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Maxime Perin, Cristel Chandre, Emanuele Tassi. Hamiltonian fluid reductions of drift-kinetic equations and the link with water-bags. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (30), pp.305501. ⟨hal-01214322⟩
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