A. V. Panov, “Group classification for equations system of two-phase medium mechanics”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13, 38

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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2011, Issue 13, Pages 38–48 (Mi vchgu50)

Differential equations

Group classification for equations system of two-phase medium mechanics

A. V. Panov

Chelyabinsk State University

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Abstract: 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, group classification, Lie algebra, optimal system of subalgebras, equations of two-phase medium mechanics.

Document Type: Article

Language: Russian

Citation: A. V. Panov, “Group classification for equations system of two-phase medium mechanics”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13, 38–48

Citation in format AMSBIB

\Bibitem{Pan11}

\by A.~V.~Panov

\paper Group classification for equations system of two-phase medium mechanics

\jour Vestnik Chelyabinsk. Gos. Univ.

\yr 2011

\issue 13

\pages 38--48

\mathnet{http://mi.mathnet.ru/vchgu50}

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