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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 317–332 (Mi semr327)  
This article is cited in 1 scientific paper (total in 1 paper)

About some solutions of the equation moving continuous medium with spacial thermodynamics

M. V. Neshchadimab, A. P. Chupakhincb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
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Abstract: We consider the system of differential equations describing motions of continuum media for which all thermodynamics functions are invariant along trajectories of particles. It is proved that for two dimensional case this system are partially linearized by special Lagrange coordinates. We find and investigate some classes of exact solutions and derive scheme of reduction this system to involution.
Keywords: equations of heat moving gas, over determined systems, reduction to involution, singular solutions.
Received September 7, 2011, published October 17, 2011
Document Type: Article
UDC: 517.9
MSC: 35Q35, 35N05
Language: Russian
Citation: M. V. Neshchadim, A. P. Chupakhin, “About some solutions of the equation moving continuous medium with spacial thermodynamics”, Sib. Èlektron. Mat. Izv., 8 (2011), 317–332
Citation in format AMSBIB
\Bibitem{NesChu11}
\by M.~V.~Neshchadim, A.~P.~Chupakhin
\paper About some solutions of the equation moving continuous medium with spacial thermodynamics
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 317--332
\mathnet{http://mi.mathnet.ru/semr327}
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