 | | 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) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 81, Issue 4 / 2017 | Next article >> |
| 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 |
| Link to Fulltext |
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