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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 9, Pages 1543–1552 (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 УComputer Science and ControlФ, Russian Academy of Sciences, Moscow, Russia

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


DOI: https://doi.org/10.31857/S004446690002532-6

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:9, 1489–1498

Bibliographic databases:

UDC: 519.634
Received: 01.03.2016
Revised: 19.11.2017

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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