Classification of invariant solutions of the Boltzmann equation

Autor:	Yu. N. Grigoryev, Sergey V. Meleshko, Pairote Sattayatham
Rok vydání:	1999
Předmět:	Independent equation Mathematical analysis Characteristic equation Lattice Boltzmann methods General Physics and Astronomy Statistical and Nonlinear Physics Euler system Invariant (physics) Plasma modeling Boltzmann equation symbols.namesake Euler's formula symbols Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 32:L337-L343
ISSN:	1361-6447 0305-4470
Popis:	An isomorphism of the Lie algebras L11 admissible by the full Boltzmann kinetic equation with an arbitrary differential cross section and by the Euler gas dynamics system of equations with a general state equation is set up. The similarity is also proved between extended algebras L12 admissible by the same equations for specified power-like intermolecular potentials and for polytropic gas. This allows the solution of the problem of classification of the full Boltzmann equation invariant H-solutions using an optimal system of subalgebras known for the Euler system. Representations of essentially different H-solutions of the spatially inhomogeneous Boltzmann equation with one and two independent invariant variables in the explicit form are obtained on this basis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7d01f34409859eaead7924f5d220497e https://doi.org/10.1088/0305-4470/32/28/102 Zobrazit plný text záznamu