A rigorous derivation of the Hamiltonian structure for the Vlasov equation
We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gib81, MW82] to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie–Poisson type. In parallel, it is classical that the Vlasov equation is a mean-field limit for a pairwise i...
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| Hauptverfasser: | , , , , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Cambridge University Press
2023-01-01
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| Schriftenreihe: | Forum of Mathematics, Sigma |
| Schlagworte: | |
| Online-Zugang: | https://www.cambridge.org/core/product/identifier/S2050509423000725/type/journal_article |
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