This article is cited in 2 papers

Initial-boundary value problems for the Boltzmann system of moment equations in an arbitrary approximation

A. Sakabekov


Abstract: Both exterior and interior boundary conditions are formulated for the Boltzmann system of moment equations, and it is proved that these boundary conditions are dissipative. It is proved that the initial-boundary value problem is solvable for the Boltzmann system of moment equations, and that the moment method converges. The boundary condition of general form is approximated.

UDC: 517.95

MSC: Primary 35F25, 35F30, 35A35, 76P05; Secondary 49M15, 82B40, 82C40

Received: 29.10.1990

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 77:1, 57–76

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