This article is cited in 1 paper

Rotating flows with acceleration and compaction in the model of hard spheres

V. D. Gordevskii

V. N. Karazin Kharkiv National University, Kharkov, Ukraine

Abstract: We construct a model of the interaction between two flows in a gas of hard spheres, each of which has the structure of an accelerating and compacting rotating flow. We obtain several conditions sufficient for the uniform integral or the "mixed" norm of the difference between the left- and right-hand sides of the Boltzmann equation to be arbitrarily small.

Keywords: hard sphere, Boltzmann equation, "mixed" discrepancy, rotating flow, acceleration–compaction.

Received: 24.02.2009
Revised: 10.04.2009

DOI: 10.4213/tmf6438

 English version: Theoretical and Mathematical Physics, 2009, 161:2, 1558–1566

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