N. V. Lemesheva, “Bimodal distributions in the space of a non-uniform weight”, Zh. Mat. Fiz. Anal. Geom., 2015, Volume 11, Number 3,Pages <nobr>267

Bimodal distributions in the space of a non-uniform weight

N. V. Lemesheva

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

Abstract: Bimodal approximate solutions of the Boltzmann equation for the model of hard spheres, which describe the interaction between the “acceleration-packing” flows, are constructed. Some sufficient conditions for infinitesimality of the mixed error “with weight” between the left-hand and the right-hand sides of the equation are obtained.

Key words and phrases: Boltzmann equation, hard spheres, Maxwellian, bimodal distribution, approximate solution, error, non-uniform weight.

MSC: Primary 76P05, 45K05; Secondary 82C40, 35Q55

Received: 16.12.2014
Revised: 13.05.2015

Language: English

DOI: 10.15407/mag11.03.267