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IssuesArchive of Issues2011-4pp.390-397

Archive of Issues

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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 3 August 2010
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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