On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity

On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity

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-Vla...

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Bibliographic Details
Main Authors: Nikolai N. Bogoliubov (Jr.), Denis L. Blackmore, Valeriy Hr. Samoylenko, Anatoliy K. Prykarpatsky
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2007-01-01
Series:Opuscula Mathematica
Subjects:
kinetic Boltzmann-Vlasov equations
hydrodynamic model
Hamiltonian systems
invariants
dynamical equivalence
Online Access:http://www.opuscula.agh.edu.pl/vol27/2/art/opuscula_math_2715.pdf
Description
Summary: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.
ISSN:1232-9274

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