@Article{BogoliubovJr2007,
author = "Bogoliubov (Jr.), Nikolai N. and Blackmore, Denis L. and Samoylenko, Valeriy Hr. and Prykarpatsky, Anatoliy K.",
title = "On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity",
journal = "Opuscula Math.",
year = "2007",
volume = "27",
number = "2",
pages = "187--195",
doi = "http://dx.doi.org/10.7494/OpMath.2007.27.2.187",
url = "http://dx.doi.org/10.7494/OpMath.2007.27.2.187",
abstract = "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.",
keywords = "kinetic Boltzmann-Vlasov equations, hydrodynamic model, Hamiltonian systems, invariants, dynamical equivalence",
issn = "1232-9274"
}