This article is cited in 10 papers

Stationary solutions of the kinetic Broadwell model

O. V. Ilyin

Dorodnitsyn Computation Center, RAS, Moscow, Russia

Abstract: We consider a stationary discrete model of the Boltzmann equation for four velocities (the Broadwell model). We obtain new exact automodel solutions of the model corresponding to an incompressible and a compressible gas. We show that one class of solutions satisfies the problem of gas evaporation and condensation on the boundary of a disk and external space. The system turns out to be strongly nonequilibrium, and continuous medium equations are not applicable to it.

Keywords: kinetic Broadwell model, automodel solution.

Received: 10.04.2011

DOI: 10.4213/tmf6780

 English version: Theoretical and Mathematical Physics, 2012, 170:3, 406–412

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