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.
Domaines
Dynamique Chaotique [nlin.CD]
Origine : Fichiers produits par l'(les) auteur(s)
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