Geodesic
Group classification for equations system of two-phase medium mechanics
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 38-48

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Сonsider the system of differential equations of mechanics of two-phase mechanics medium, mixed gas and small particles. Temperature effects are not accounted. Arbitrary element in the system is pressure. The principal Lie group of symmetry is found. Specifications of arbitrary element, which can give additional symmetry, don`t exist. There are found optimal systems of subalgebras for the principal Lie algebra.
Keywords: symmetry group of equation, equations of two-phase medium mechanics.
Mots-clés : group classification, Lie algebra, optimal system of subalgebras 
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     author = {A. V. Panov},
     title = {Group classification for equations system of two-phase medium mechanics},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {38--48},
     publisher = {mathdoc},
     number = {13},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a3/}
}
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A. V. Panov. Group classification for equations system of two-phase medium mechanics. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 13 (2011), pp. 38-48. http://geodesic.mathdoc.fr/item/VCHGU_2011_13_a3/