Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2011, Volume 7, Number 3, Pages 212–224 (Mi jmag513)  
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
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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.
Received: 19.11.2010
Bibliographic databases:
Document Type: Article
MSC: Primary 76P05, 45K05; Secondary 82C40, 35Q55
Language: English
Citation: V. D. Gordevskyy, E. S. Sazonova, “Asymmetrical bimodal distributions with screw modes”, Zh. Mat. Fiz. Anal. Geom., 7:3 (2011), 212–224
Citation in format AMSBIB
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\by V.~D.~Gordevskyy, E.~S.~Sazonova
\paper Asymmetrical bimodal distributions with screw modes
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2011
\vol 7
\issue 3
\pages 212--224
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\zmath{https://zbmath.org/?q=an:05984197}
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