Geodesic
Inserted invariant submodels for motion of monatomic gas
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 605-625

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We consider the gas dynamics equations with the state equation of the monatomic polytropic gas. From optimal system of a 14-dimensional Lie algebra admitted by the model we select subalgebras containing projective operator which is specific to this model. The optimal system consists of 73 subalgebras. The graph of all inserted subalgebras was constructed. It submits from 6 fragments. For any 4-dimensional subalgebra a hierarchy of inserted invariant submodels was constructed.
Keywords: gas dynamics equations, graph of inserted subalgebras, invariant submodel.
Mots-clés : optimal system of subalgebras 
@article{SEMR_2014_11_a62,
     author = {R. F. Shayakhmetova},
     title = {Inserted invariant submodels for motion of monatomic gas},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {605--625},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a62/}
}
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R. F. Shayakhmetova. Inserted invariant submodels for motion of monatomic gas. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 605-625. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a62/