Asymmetrical bimodal distributions with screw modes

V. D. Gordevskyy, E. S. Sazonova

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

Abstract: The Boltzmann equation for the model of hard spheres is considered. Approximate bimodal solutions for the Boltzmann equation are built for the case when the Maxwellian modes are screws with different degrees of infinitesimality of angular velocities. Some sufficient conditions for the minimization of the uniform-integral remainder between the sides of the Boltzmann equation are obtained.

Key words and phrases: hard spheres, Boltzman equation, Maxwellian, screws, remainder, bimodal distribution.

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

Received: 19.11.2010

Language: English

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