On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity

• Autorzy: Bogoliubov N. N. (Jr.) , Blackmore D. L. , Somoylenko V. Hr. , Prykarpatsky A. K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

kinetic Boltzmann-Vlasov equations; hydrodynamic model; Hamiltonian systems; invariants; dynamical equivalence

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 2
• Strony: 187--195
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Bogoliubov N. N. (Jr.)

autor

Blackmore D. L.

autor

Somoylenko V. Hr.

autor

Prykarpatsky A. K.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, Cracow 30-059 Poland [Prykarpatsky, A. K.],

Bibliografia

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