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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2009 Volume 5, Number 1, Pages 38–53 (Mi jmag116)

This article is cited in 3 papers

Interaction between "accelerating-packing" flows in a low-temperature gas

V. D. Gordevskyy, N. V. Andriyasheva

Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Abstract: The Maxwellians of a special type, which correspond to inhomogeneous, nonstationary flows and describe the acceleration and packing of gas along some direction, are studied. The approximate description of interaction between these two flows for the model of hard spheres, when the temperatures are sufficiently small, is obtained in a form of bimodal distribution with various coefficient functions.

Key words and phrases: rarefied gas, Boltzmann equation, hard spheres, Maxwellian, bimodal distribution, approximate solution, error, low temperature.

MSC: 76P05, 45K05 (primary), 82C40, 35Q55 (secondary)

Received: 26.01.2008

Language: English



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