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Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical Sciences-AIMS, 2021-06)
We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (Lie-Poisson) systems as couplings of ...
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)
Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ...