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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2015

Hamiltonian closures for fluid models with four moments by dimensional analysis

Résumé

Fluid reductions of the Vlasov-Ampère equations that preserve the Hamiltonian structure of the parent kinetic model are investigated. Hamiltonian closures using the first four moments of the Vlasov distribution are obtained, and all closures provided by a dimensional analysis procedure for satisfying the Jacobi identity are identified. Two Hamiltonian models emerge, for which the explicit closures are given, along with their Poisson brackets and Casimir invariants.
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Dates et versions

hal-01117216 , version 1 (16-02-2015)

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M Perin, C Chandre, P.J. Morrison, E Tassi. Hamiltonian closures for fluid models with four moments by dimensional analysis. Journal of Physics A: Mathematical and Theoretical, 2015, 48 (27), pp.275501. ⟨hal-01117216⟩
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