Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2017-4pp.334-340

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Total articles in the database: 10482
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S.V. Khabirov, "Group analysis of a one-dimensional model of gas flow in a porous medium," J. Appl. Math. Mech. 81 (4), 334-340 (2017)
Year 2017 Volume 81 Issue 4 Pages 334-340
DOI 10.1016/j.jappmathmech.2017.12.010
Title Group analysis of a one-dimensional model of gas flow in a porous medium
Author(s) S.V. Khabirov (Mavlyutov Institute of Mechanics, Russian Academy of Sciences, Urals Scientific Centre, Ufa, Russia, habirov@anrb.ru)
Abstract A potential has been introduced with based on a conservation law for the simplest one-dimensional model of gas flow in a porous medium. The admissible Lie algebra of this model with this potential is extended by a new transport operator. An optimal system of non-similar subalgebras has been constructed. For one-dimensional subalgebras, all invariant sub-models have been considered and the solutions have been investigated qualitatively. Group analysis can be extended by a consideration of differentially invariant sub-models for subalgebras of greater dimension.
Received 07 June 2015
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