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

Abstract : 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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Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49
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Dernière modification le : lundi 20 juin 2016 - 13:57:49
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  • HAL Id : hal-01214322, version 1
  • ARXIV : 1510.03156

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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, IOP Publishing, 2016, 49. 〈hal-01214322〉

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