On kinetic two component Boltzmann equations and related hydrodynamic two liquid flows
N. Bogolubov, und A. Prykarpatsky. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Zusammenfassung
There is discussed 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. We show that they have a natural connection with the
nonlinear kinetic Boltzmann-Vlasov equations for some one-dimensional
particle flows with a pointwise interaction potential between particles. A
new type of hydrodynamic two-component Benney equations is constructed,
their Hamiltonian structure is found. The question about the existence of
the related Lax type representation for the two-component case is still
remaining to be open.
%0 Book Section
%1 statphys23_0520
%A Bogolubov, N.N.
%A Prykarpatsky, A.K.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K boltzmann component equations flows hydrodybanical statphys23 topic-5 turbulence two
%T On kinetic two component Boltzmann equations and related hydrodynamic two liquid flows
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=520
%X There is discussed 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. We show that they have a natural connection with the
nonlinear kinetic Boltzmann-Vlasov equations for some one-dimensional
particle flows with a pointwise interaction potential between particles. A
new type of hydrodynamic two-component Benney equations is constructed,
their Hamiltonian structure is found. The question about the existence of
the related Lax type representation for the two-component case is still
remaining to be open.
@incollection{statphys23_0520,
abstract = {There is discussed 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. We show that they have a natural connection with the
nonlinear kinetic Boltzmann-Vlasov equations for some one-dimensional
particle flows with a pointwise interaction potential between particles. A
new type of hydrodynamic two-component Benney equations is constructed,
their Hamiltonian structure is found. The question about the existence of
the related Lax type representation for the two-component case is still
remaining to be open.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Bogolubov, N.N. and Prykarpatsky, A.K.},
biburl = {https://www.bibsonomy.org/bibtex/295b131c2465b303d63113ab1bb3576f6/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {05ecbb1e07e5b715a1be55fc9cfd686e},
intrahash = {95b131c2465b303d63113ab1bb3576f6},
keywords = {boltzmann component equations flows hydrodybanical statphys23 topic-5 turbulence two},
month = {9-13 July},
timestamp = {2007-06-20T10:16:22.000+0200},
title = {On kinetic two component Boltzmann equations and related hydrodynamic two liquid flows},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=520},
year = 2007
}