Geodesic
Invariant solutions to dynamic of polytropic gas generated by threedimensional Lie subalgebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 53-109

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We study group-theoretical solutions to the dynamic equations of polytropic gas. 95 invariant submodels are considered. In a number of cases the factorsystems can be integrated, and several submodels admit constructing partial solutions. This result is applicable in gas dynamics, aerodynamics, and physics of atmosphere.
Keywords: dynamics of polytropic gas, algebra of symmetry.
Mots-clés : invariant solution 
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     author = {E. V. Mamontov},
     title = {Invariant solutions to dynamic of polytropic gas generated by threedimensional {Lie} subalgebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {53--109},
     publisher = {mathdoc},
     volume = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2009_6_a4/}
}
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E. V. Mamontov. Invariant solutions to dynamic of polytropic gas generated by threedimensional Lie subalgebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 53-109. http://geodesic.mathdoc.fr/item/SEMR_2009_6_a4/