This article is cited in 1 paper

Continuum analogue of bimodal distributions

V. D. Gordevskii, E. S. Sazonova

Karazin Kharkov National University, Kharkov, Ukraine

Abstract: We consider the Boltzmann equation for the hard-sphere model. We construct an explicit approximate solution of this equation in the form of a continuum distribution in the case of global Maxwellians. We obtain some sufficient conditions for attaining the minimum of the uniform-integral mismatch between the sides of the equation.

Keywords: hard sphere, Boltzmann equation, Maxwellian, mismatch, continuum distribution.

Received: 20.07.2011
Revised: 12.09.2011

DOI: 10.4213/tmf6933

 English version: Theoretical and Mathematical Physics, 2012, 171:3, 839–847

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