- Tytuł:
- 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. - Powiązania:
- https://bibliotekanauki.pl/articles/255472.pdf
- Data publikacji:
- 2007
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
kinetic Boltzmann-Vlasov equations
hydrodynamic model
Hamiltonian systems
invariants
dynamical equivalence - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2007, 27, 2; 187-195
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł