 | | 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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| Yu.A. Chirkunov, "The conservation laws and group properties of the equations of gas dynamics with zero velocity of sound," J. Appl. Math. Mech. 73 (4), 421-425 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
4 |
Pages |
421-425 |
| Title |
The conservation laws and group properties of the equations of gas dynamics with zero velocity of sound |
| Author(s) |
Yu.A. Chirkunov (Novosibirsk, Russia, chr01@rambler.ru) |
| Abstract |
All the conservation laws of zero order are obtained by the method of A-operators for a system of n-dimensional (n ≥1) equations of gas dynamics with zero velocity of sound. A group subdivision is carried out of this system with respect to an infinite subgroup, which is a normal divider of its main Lie group of transformations; the main group of the resolving system is obtained. First-order non-local symmetries are obtained for the initial system. A special choice of the mass Lagrange variables enables this system to be converted to a reduced system equivalent to it, containing n−1 spatial variables, which, for n=2, is written in the form of a one-dimensional complex heat-conduction equation using complex dependent and independent variables. |
| Received |
08 July 2008 |
| Link to Fulltext |
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