Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Study of invariant solutions of full Boltzmann equation.

Grigoriev Y.N.,Meleshko S.V.

ICT SB RAS (Novosibirsk)
IPAM SB RAS (Novosibirsk)

For styding of invariant solutions of the full Boltzmann equation with power molecular potentials its Fourier transformation with respect to velocity variable is used.The transformation gives us an integrodifferential equation for Fourier density (characteristic function) of molecular distribution function.The 9-parametric Lie group (algebra) admitted by this equation was obtained. An optimal system of subalgebras of the admissible algebra was constructed. With using of the optimal system the representations of invariant solutions with one and two independent invariant variables were received. Factor-equations and their partial solutions were carried out in explicite form for some potentials in a class with one invariant variable.

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Note. Abstracts are published in author's edition

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