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- W2073147816 abstract "The infinite dimensional phase space of the Vlasov equation is foliated by symplectic manifolds (leaves) which are invariant under the dynamics. By adopting a Lie transform representation, exp{W, }, for near-identity canonical transformations we obtain a local coordinate system on a leaf. The evolution equation defined by restricting the Vlasov equation to the leaf is approximately represented by the evolution of W. We derive the equation for ∂tW and show that it is hamiltonian relative to the nondegenerate Kirillov-Kostant-Souriau symplectic structure." @default.
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- W2073147816 date "1988-12-01" @default.
- W2073147816 modified "2023-09-25" @default.
- W2073147816 title "Vlasov equation on a symplectic leaf" @default.
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- W2073147816 doi "https://doi.org/10.1016/0375-9601(88)90539-7" @default.
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