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Article Dans Une Revue Journal of Mathematical Physics Année : 2016

Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments

Résumé

We consider Hamiltonian closures of the Vlasov equation using the phase-space moments of the distribution function. We provide some conditions on the closures imposed by the Jacobi identity. We completely solve some families of examples. As a result, we show that imposing that the resulting reduced system preserves the Hamiltonian character of the parent model shapes its phase space by creating a set of Casimir invariants as a direct consequence of the Jacobi identity.
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Dates et versions

hal-01237892 , version 1 (03-12-2015)

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Citer

Cristel Chandre, Maxime Perin. Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments. Journal of Mathematical Physics, 2016, 57 (3), pp.032902. ⟨10.1063/1.4944720⟩. ⟨hal-01237892⟩
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