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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 137, Pages 97–103 (Mi into207)

This article is cited in 2 papers

Vortex steady planar entropic flows of ideal gases

S. V. Khabirov

Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences

Abstract: 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, optimal system of subalgebras, invariant solution.

UDC: 517.958, 533.7

MSC: 37N10, 76N15, 76U05


 English version:
Journal of Mathematical Sciences (New York), 2019, 236:6, 679–686

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© Steklov Math. Inst. of RAS, 2025