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], 2018, Volume 14, Number 1, Pages 54–66
DOI: https://doi.org/10.15407/mag14.01.054 (Mi jmag688) 		 
The interaction of the Maxwell flows of general form for the Bryan–Pidduck model

O. A. Hukalova, V. D. Gordevskyyb

a B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
b V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61022, Ukraine
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DOI: https://doi.org/10.15407/mag14.01.054
Abstract: The interaction between the two Maxwell flows of general form in a gas of rough spheres is studied. The approximate solution of the Bryan–Pidduck equation describing the interaction is a bimodal distribution with specially selected coefficient functions. It is shown that under certain additional conditions imposed on these functions and hydrodynamic parameters of the flows, the norm of the difference between the parts of the Bryan–Pidduck equation can be arbitrarily small.
Key words and phrases: rough spheres, Bryan–Pidduck equation, error, Maxwellian flows, bimodal distribution, hydrodynamic parameters.
Funding agency Grant number
National Academy of Sciences of Ukraine
This work was partially supported by the NAS of Ukraine Project “Linear evolution equations in a Hilbert space and the Boltzmann equation”.
Received: 06.09.2016
Revised: 02.12.2016
Document Type: Article
MSC: 76P05, 45K05, 82C40, 35Q55
Language: English
Citation: O. A. Hukalov, V. D. Gordevskyy, “The interaction of the Maxwell flows of general form for the Bryan–Pidduck model”, Zh. Mat. Fiz. Anal. Geom., 14:1 (2018), 54–66
Citation in format AMSBIB
\Bibitem{HukGor18}
\by O.~A.~Hukalov, V.~D.~Gordevskyy
\paper The interaction of the Maxwell flows of general form for the Bryan--Pidduck model
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 1
\pages 54--66
\mathnet{http://mi.mathnet.ru/jmag688}
\crossref{https://doi.org/10.15407/mag14.01.054}
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