Solution of the Ovsyannikov Problem of Two-Dimensional Isothermal Motion of a Polytropic Gas

  • Yu. V. Shan’ko


We study an overdetermined system of partial differential equations which describes the two-dimensional isothermal motion of a polytropic gas. The system is reduced to a passive form and is completely integrated. The resulting solutions are treated as ideal incompressible fluid flows bounded by a free surface or a moving solid wall.


isothermal gas flows thermal motion of gas free-boundary ideal flow overdetermined systems exact solutions 


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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Institute of Computational Modeling, Siberian BranchRussian Academy of SciencesKrasnoyarskRussia

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