TY  - JOUR
ID  - BogoliubovJr2007
LB  - BogoliubovJr2007
AU  - Bogoliubov (Jr.), Nikolai N.
AU  - Blackmore, Denis L.
AU  - Samoylenko, Valeriy Hr.
AU  - Prykarpatsky, Anatoliy K.
TI  - On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity
ST  - On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2007
VL  - 27
IS  - 2
SP  - 187
EP  - 195
DO  - http://dx.doi.org/10.7494/OpMath.2007.27.2.187
UR  - http://dx.doi.org/10.7494/OpMath.2007.27.2.187
AB  - 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.
KW  - kinetic Boltzmann-Vlasov equations
KW  - hydrodynamic model
KW  - Hamiltonian systems
KW  - invariants
KW  - dynamical equivalence
SN  - 1232-9274
ER  -