 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.G. Volkov, L.R. Galiakberova, and I.S. Zheltova, "Integrable seepage equations," J. Appl. Math. Mech. 76 (2), 185-191 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
2 |
Pages |
185-191 |
| Title |
Integrable seepage equations |
| Author(s) |
V.G. Volkov (Ufa, Russia, volkovvg@ufanipi.ru)
L.R. Galiakberova (Ufa, Russia, yakopo@bk.ru)
I.S. Zheltova (Ufa, Russia, zheltovais@ufanipi.ru) |
| Abstract |
Well-known results of the classification of parabolic-type differential equations, possessing an infinite Lie-Bäcklund algebra, are used to describe seepage models, which, using (in general) differential substitutions, can be reduced to the heat conduction equation. Relations between the functional parameters, characterizing the properties of the liquid and gas phases and the porous medium, are obtained that ensure the existence of such substitutions. |
| Received |
06 July 2010 |
| Link to Fulltext |
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