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arXiv · 1512.05969

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

Cristel Chandre·Maxime Perin
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Abstract

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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Cristel Chandre, Maxime Perin. 2015-12-18. Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments. https://doi.org/10.1063/1.4944720

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