Инд. авторы:	Grigoryev Y.N., Meleshko S.V., Sattayatham P.
Заглавие:	Classification of invariant solutions of the Boltzmann equation
Библ. ссылка:	Grigoryev Y.N., Meleshko S.V., Sattayatham P. Classification of invariant solutions of the Boltzmann equation // Journal of Physics A: Mathematical and General. - 1999. - Vol.32. - Iss. 28. - P.L337-L343. - ISSN 0305-4470.
Внешние системы:	DOI: 10.1088/0305-4470/32/28/102; РИНЦ: 13314121; WoS: 000081764300002;
Реферат:	eng: An isomorphism of the Lie algebras L-11 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 L-12 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.
Издано:	1999