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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 3, Pages 382–395
DOI: https://doi.org/10.7868/S0044466917030164 (Mi zvmmf10531) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Rotationally symmetric viscous gas flows

W. Weiganta, P. I. Plotnikovbc

a Bonn University, Bonn, Germany
b Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.7868/S0044466917030164
Abstract: The Dirichlet boundary value problem for the Navier–Stokes equations of a barotropic viscous compressible fluid is considered. The flow region and the data of the problem are assumed to be invariant under rotations about a fixed axis. The existence of rotationally symmetric weak solutions for all adiabatic exponents from the interval $(\gamma^*, \infty)$ with a critical exponent $\gamma^*< 4/3$ is proved.
Key words: viscous gas, Navier–Stokes equations, rotational symmetry, Dirichlet boundary value problem, weak solutions.
Funding agency Grant number
Russian Science Foundation 15-11-20019
Received: 26.07.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 3, Pages 387–400
DOI: https://doi.org/10.1134/S0965542517030150
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: W. Weigant, P. I. Plotnikov, “Rotationally symmetric viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017), 382–395; Comput. Math. Math. Phys., 57:3 (2017), 387–400
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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