Geodesic
Vortex steady planar entropic flows of ideal gases
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 97-103
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We find all solutions to the submodel of vortex, steady, planar, barotropic, entropic flows of an ideal gas and show that possible motions are exhausted by rectilinear motions under a constant pressure and motions along concentric circles. We present a group classification of the model of planar, vortex, entropic, nonbarotropic flows, examine invariant submodels, and propose a physical interpretation of certain solutions.
Keywords: vortex flow, group analysis
Mots-clés : optimal system of subalgebras, invariant solution. 
@article{INTO_2017_137_a5,
     author = {S. V. Khabirov},
     title = {Vortex steady planar entropic flows of ideal gases},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {97--103},
     year = {2017},
     volume = {137},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_137_a5/}
}
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S. V. Khabirov. Vortex steady planar entropic flows of ideal gases. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 97-103. http://geodesic.mathdoc.fr/item/INTO_2017_137_a5/