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.
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References
G. G. Chernyi, Gas Dynamics [in Russian], Nauka, Moscow (1988).
S. V. Khabirov and Yu. A. Chirkunov, Elements of Symmetry Analysis of Differential Equations of Continuum Mechanics [in Russian], Novosibirks (2012).
L. V. Ovsyannikov, Lectures on the Fundamentals of Gas Dynamics [in Russian], Nauka, Moscow (1981).
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 137, Mathematical Physics, 2017.
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Khabirov, S.V. Vortex Steady Planar Entropic Flows of Ideal Gases. J Math Sci 236, 679–686 (2019). https://doi.org/10.1007/s10958-018-4139-8
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DOI: https://doi.org/10.1007/s10958-018-4139-8