 | | 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. Baidulov and Yu.D. Chashechkin, "Invariant properties of systems of equations of the mechanics of inhomogeneous fluids," J. Appl. Math. Mech. 75 (4), 390-397 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
4 |
Pages |
390-397 |
| Title |
Invariant properties of systems of equations of the mechanics of inhomogeneous fluids |
| Author(s) |
V.G. Baidulov (Moscow, Russia, bayd@ipmnet.ru)
Yu.D. Chashechkin (Moscow, Russia, chakin@ipmnet.ru) |
| Abstract |
The invariant properties of the fundamental system of equations of the mechanics of inhomogeneous fluids and its widely used approximations are analysed by the methods of continuous group theory. Simplifying assumptions significantly alter the invariant properties of the systems of equations. Both extending and contracting the admissible symmetry group can occur and provide evidence of the violation of the conditions of equivalence between the original and derived systems. For example, the use of the incompressibility and Boussinesq approximations leads to extension of the concept of an inertial reference frame to all frames moving relative to one another with arbitrary linear acceleration. |
| Received |
03 August 2010 |
| Link to Fulltext |
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