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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. DOI: https://doi.org/10.15407/mag11.03.267   Full text:
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MSC: Primary 76P05, 45K05; Secondary 82C40, 35Q55 Received: 16.12.2014 Revised: 13.05.2015 Language: Citation: N. V. Lemesheva, “Bimodal distributions in the space of a non-uniform weight”, Zh. Mat. Fiz. Anal. Geom., 11:3 (2015), 
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