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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 9, Pages 1543–1552
DOI: https://doi.org/10.31857/S004446690002532-6 (Mi zvmmf10777) 		 
Construction of divergence forms of conservation equations for a diatomic gas using a model kinetic equation

I. A. Kostromina, V. A. Rykovb

a Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
b Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S004446690002532-6
Abstract: A model kinetic equation for a rarefied diatomic gas is used to obtain necessary and sufficient conditions for the existence of divergence-form conservation laws. For some types of force fields, new divergence forms of conservation laws are constructed. They are used to examine the general properties of the motion of a finite gas mass in a given field.
Key words: rarefied gas, model kinetic equation, diatomic gas, divergence conservation laws.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00489_а
Received: 01.03.2016
Revised: 19.11.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 9, Pages 1489–1498
DOI: https://doi.org/10.1134/S0965542518090117
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. A. Kostromin, V. A. Rykov, “Construction of divergence forms of conservation equations for a diatomic gas using a model kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1543–1552; Comput. Math. Math. Phys., 58:9 (2018), 1489–1498
Citation in format AMSBIB
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