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Browsing by Subject "Hamiltonian systems"

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    Item type:Article, Access status: Open Access ,
    On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity
    (2007) Bogoliubov, Nikolai N.; Blackmore, Denis L.; Samoylenko, Valeriy Hr.; Prykarpatsky, Anatoliy K.
    A two-component particle model of Boltzmann-Vlasov type kinetic equations in the form of special nonlinear integro-differential hydrodynamic systems on an infinite-dimensional functional manifold is discussed. We show that such systems are naturally connected with the nonlinear kinetic Boltzmann-Vlasov equations for some one-dimensional particle flows with pointwise interaction potential between particles. A new type of hydrodynamic two-component Benney equations is constructed and their Hamiltonian structure is analyzed.